Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
Question
Book Icon
Chapter 5.9, Problem 16WE
To determine

To solve: the given equation for t . Check the result.

Expert Solution & Answer
Check Mark

Answer to Problem 16WE

No solution

Explanation of Solution

Given information:

Given equation is

  1t−1+1t+2=3t2+t−2

Calculation:

Consider the given equation,

  1t−1+1t+2=3t2+t−2

Now, solve the equation as shown,

  1t−1+1t+2=3t2+t−2t+2+t−1(t−1)(t+2)=3t2+t−22t+1(t−1)(t+2)=3(t−1)(t+2)(t−1)(t+2)(2t+1)=3(t−1)(t+2)(t−1)(t+2)(2t−2)=0t=1,t=−2

Now, check the result by back substitution.

  1t−1+1t+2=3t2+t−211−1+11+2=312+1−210+13=30

Which is undefined.

Hence, the equation has no solution.

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Chapter 5.9, Problem 15WE
Next
Chapter 5.9, Problem 17WE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OECh. 5.1 - Prob. 2OECh. 5.1 - Prob. 3OECh. 5.1 - Prob. 4OECh. 5.1 - Prob. 5OECh. 5.1 - Prob. 6OECh. 5.1 - Prob. 7OECh. 5.1 - Prob. 8OECh. 5.1 - Prob. 9OECh. 5.1 - Prob. 10OE
Ch. 5.1 - Prob. 11OECh. 5.1 - Prob. 12OECh. 5.1 - Prob. 1WECh. 5.1 - Prob. 2WECh. 5.1 - Prob. 3WECh. 5.1 - Prob. 4WECh. 5.1 - Prob. 5WECh. 5.1 - Prob. 6WECh. 5.1 - Prob. 7WECh. 5.1 - Prob. 8WECh. 5.1 - Prob. 9WECh. 5.1 - Prob. 10WECh. 5.1 - Prob. 11WECh. 5.1 - Prob. 12WECh. 5.1 - Prob. 13WECh. 5.1 - Prob. 14WECh. 5.1 - Prob. 15WECh. 5.1 - Prob. 16WECh. 5.1 - Prob. 17WECh. 5.1 - Prob. 18WECh. 5.1 - Prob. 19WECh. 5.1 - Prob. 20WECh. 5.1 - Prob. 21WECh. 5.1 - Prob. 22WECh. 5.1 - Prob. 23WECh. 5.1 - Prob. 24WECh. 5.1 - Prob. 25WECh. 5.1 - Prob. 26WECh. 5.1 - Prob. 27WECh. 5.1 - Prob. 28WECh. 5.1 - Prob. 29WECh. 5.1 - Prob. 30WECh. 5.1 - Prob. 31WECh. 5.1 - Prob. 32WECh. 5.1 - Prob. 33WECh. 5.1 - Prob. 34WECh. 5.1 - Prob. 35WECh. 5.1 - Prob. 36WECh. 5.1 - Prob. 1MRECh. 5.1 - Prob. 2MRECh. 5.1 - Prob. 3MRECh. 5.1 - Prob. 4MRECh. 5.1 - Prob. 5MRECh. 5.1 - Prob. 6MRECh. 5.1 - Prob. 7MRECh. 5.1 - Prob. 8MRECh. 5.1 - Prob. 9MRECh. 5.1 - Prob. 10MRECh. 5.1 - Prob. 11MRECh. 5.1 - Prob. 12MRECh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.2 - Prob. 1OECh. 5.2 - Prob. 2OECh. 5.2 - Prob. 3OECh. 5.2 - Prob. 4OECh. 5.2 - Prob. 5OECh. 5.2 - Prob. 6OECh. 5.2 - Prob. 7OECh. 5.2 - Prob. 8OECh. 5.2 - Prob. 9OECh. 5.2 - Prob. 10OECh. 5.2 - Prob. 11OECh. 5.2 - Prob. 12OECh. 5.2 - Prob. 13OECh. 5.2 - Prob. 14OECh. 5.2 - Prob. 15OECh. 5.2 - Prob. 16OECh. 5.2 - Prob. 1WECh. 5.2 - Prob. 2WECh. 5.2 - Prob. 3WECh. 5.2 - Prob. 4WECh. 5.2 - Prob. 5WECh. 5.2 - Prob. 6WECh. 5.2 - Prob. 7WECh. 5.2 - Prob. 8WECh. 5.2 - Prob. 9WECh. 5.2 - Prob. 10WECh. 5.2 - Prob. 11WECh. 5.2 - Prob. 12WECh. 5.2 - Prob. 13WECh. 5.2 - Prob. 14WECh. 5.2 - Prob. 15WECh. 5.2 - Prob. 16WECh. 5.2 - Prob. 17WECh. 5.2 - Prob. 18WECh. 5.2 - Prob. 19WECh. 5.2 - Prob. 20WECh. 5.2 - Prob. 21WECh. 5.2 - Prob. 22WECh. 5.2 - Prob. 23WECh. 5.2 - Prob. 24WECh. 5.2 - Prob. 25WECh. 5.2 - Prob. 26WECh. 5.2 - Prob. 27WECh. 5.2 - Prob. 28WECh. 5.2 - Prob. 29WECh. 5.2 - Prob. 30WECh. 5.2 - Prob. 31WECh. 5.2 - Prob. 32WECh. 5.2 - Prob. 33WECh. 5.2 - Prob. 34WECh. 5.2 - Prob. 35WECh. 5.2 - Prob. 36WECh. 5.2 - Prob. 37WECh. 5.2 - Prob. 38WECh. 5.2 - Prob. 39WECh. 5.2 - Prob. 40WECh. 5.2 - Prob. 41WECh. 5.2 - Prob. 42WECh. 5.2 - Prob. 43WECh. 5.2 - Prob. 44WECh. 5.2 - Prob. 45WECh. 5.2 - Prob. 46WECh. 5.2 - Prob. 47WECh. 5.2 - Prob. 48WECh. 5.2 - Prob. 49WECh. 5.2 - Prob. 50WECh. 5.2 - Prob. 51WECh. 5.2 - Prob. 52WECh. 5.2 - Prob. 53WECh. 5.2 - Prob. 54WECh. 5.2 - Prob. 55WECh. 5.2 - Prob. 56WECh. 5.2 - Prob. 57WECh. 5.2 - Prob. 58WECh. 5.3 - Prob. 1OECh. 5.3 - Prob. 2OECh. 5.3 - Prob. 3OECh. 5.3 - Prob. 4OECh. 5.3 - Prob. 5OECh. 5.3 - Prob. 6OECh. 5.3 - Prob. 7OECh. 5.3 - Prob. 8OECh. 5.3 - Prob. 9OECh. 5.3 - Prob. 10OECh. 5.3 - Prob. 11OECh. 5.3 - Prob. 12OECh. 5.3 - Prob. 1WECh. 5.3 - Prob. 2WECh. 5.3 - Prob. 3WECh. 5.3 - Prob. 4WECh. 5.3 - Prob. 5WECh. 5.3 - Prob. 6WECh. 5.3 - Prob. 7WECh. 5.3 - Prob. 8WECh. 5.3 - Prob. 9WECh. 5.3 - Prob. 10WECh. 5.3 - Prob. 11WECh. 5.3 - Prob. 12WECh. 5.3 - Prob. 13WECh. 5.3 - Prob. 14WECh. 5.3 - Prob. 15WECh. 5.3 - Prob. 16WECh. 5.3 - Prob. 17WECh. 5.3 - Prob. 18WECh. 5.3 - Prob. 19WECh. 5.3 - Prob. 20WECh. 5.3 - Prob. 21WECh. 5.3 - Prob. 22WECh. 5.3 - Prob. 23WECh. 5.3 - Prob. 24WECh. 5.3 - Prob. 25WECh. 5.3 - Prob. 26WECh. 5.3 - Prob. 27WECh. 5.3 - Prob. 28WECh. 5.3 - Prob. 29WECh. 5.3 - Prob. 30WECh. 5.3 - Prob. 31WECh. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 10PCh. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 1MRECh. 5.3 - Prob. 2MRECh. 5.3 - Prob. 3MRECh. 5.3 - Prob. 4MRECh. 5.3 - Prob. 5MRECh. 5.3 - Prob. 6MRECh. 5.3 - Prob. 7MRECh. 5.3 - Prob. 8MRECh. 5.3 - Prob. 9MRECh. 5.3 - Prob. 10MRECh. 5.3 - Prob. 11MRECh. 5.3 - Prob. 12MRECh. 5.3 - Prob. 1STCh. 5.3 - Prob. 2STCh. 5.3 - Prob. 3STCh. 5.3 - Prob. 4STCh. 5.3 - Prob. 5STCh. 5.3 - Prob. 6STCh. 5.3 - Prob. 7STCh. 5.3 - Prob. 8STCh. 5.3 - Prob. 9STCh. 5.3 - Prob. 10STCh. 5.4 - Prob. 1OECh. 5.4 - Prob. 2OECh. 5.4 - Prob. 3OECh. 5.4 - Prob. 4OECh. 5.4 - Prob. 5OECh. 5.4 - Prob. 6OECh. 5.4 - Prob. 7OECh. 5.4 - Prob. 8OECh. 5.4 - Prob. 9OECh. 5.4 - Prob. 10OECh. 5.4 - Prob. 11OECh. 5.4 - Prob. 12OECh. 5.4 - Prob. 13OECh. 5.4 - Prob. 14OECh. 5.4 - Prob. 15OECh. 5.4 - Prob. 1WECh. 5.4 - Prob. 2WECh. 5.4 - Prob. 3WECh. 5.4 - Prob. 4WECh. 5.4 - Prob. 5WECh. 5.4 - Prob. 6WECh. 5.4 - Prob. 7WECh. 5.4 - Prob. 8WECh. 5.4 - Prob. 9WECh. 5.4 - Prob. 10WECh. 5.4 - Prob. 11WECh. 5.4 - Prob. 12WECh. 5.4 - Prob. 13WECh. 5.4 - Prob. 14WECh. 5.4 - Prob. 15WECh. 5.4 - Prob. 16WECh. 5.4 - Prob. 17WECh. 5.4 - Prob. 18WECh. 5.4 - Prob. 19WECh. 5.4 - Prob. 20WECh. 5.4 - Prob. 21WECh. 5.4 - Prob. 22WECh. 5.4 - Prob. 23WECh. 5.4 - Prob. 24WECh. 5.4 - Prob. 25WECh. 5.4 - Prob. 26WECh. 5.4 - Prob. 27WECh. 5.4 - Prob. 28WECh. 5.4 - Prob. 29WECh. 5.4 - Prob. 30WECh. 5.4 - Prob. 31WECh. 5.4 - Prob. 32WECh. 5.4 - Prob. 33WECh. 5.4 - Prob. 34WECh. 5.4 - Prob. 35WECh. 5.4 - Prob. 36WECh. 5.4 - Prob. 37WECh. 5.4 - Prob. 38WECh. 5.4 - Prob. 39WECh. 5.4 - Prob. 40WECh. 5.4 - Prob. 41WECh. 5.4 - Prob. 42WECh. 5.4 - Prob. 43WECh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.5 - Prob. 1OECh. 5.5 - Prob. 2OECh. 5.5 - Prob. 3OECh. 5.5 - Prob. 4OECh. 5.5 - Prob. 5OECh. 5.5 - Prob. 6OECh. 5.5 - Prob. 7OECh. 5.5 - Prob. 8OECh. 5.5 - Prob. 1WECh. 5.5 - Prob. 2WECh. 5.5 - Prob. 3WECh. 5.5 - Prob. 4WECh. 5.5 - Prob. 5WECh. 5.5 - Prob. 6WECh. 5.5 - Prob. 7WECh. 5.5 - Prob. 8WECh. 5.5 - Prob. 9WECh. 5.5 - Prob. 10WECh. 5.5 - Prob. 11WECh. 5.5 - Prob. 12WECh. 5.5 - Prob. 13WECh. 5.5 - Prob. 14WECh. 5.5 - Prob. 15WECh. 5.5 - Prob. 16WECh. 5.5 - Prob. 17WECh. 5.5 - Prob. 18WECh. 5.5 - Prob. 19WECh. 5.5 - Prob. 20WECh. 5.5 - Prob. 21WECh. 5.5 - Prob. 22WECh. 5.5 - Prob. 23WECh. 5.5 - Prob. 24WECh. 5.5 - Prob. 1MRECh. 5.5 - Prob. 2MRECh. 5.5 - Prob. 3MRECh. 5.5 - Prob. 4MRECh. 5.5 - Prob. 5MRECh. 5.5 - Prob. 6MRECh. 5.5 - Prob. 7MRECh. 5.5 - Prob. 8MRECh. 5.5 - Prob. 9MRECh. 5.5 - Prob. 10MRECh. 5.5 - Prob. 11MRECh. 5.5 - Prob. 12MRECh. 5.6 - Prob. 1OECh. 5.6 - Prob. 2OECh. 5.6 - Prob. 3OECh. 5.6 - Prob. 4OECh. 5.6 - Prob. 5OECh. 5.6 - Prob. 6OECh. 5.6 - Prob. 7OECh. 5.6 - Prob. 8OECh. 5.6 - Prob. 1WECh. 5.6 - Prob. 2WECh. 5.6 - Prob. 3WECh. 5.6 - Prob. 4WECh. 5.6 - Prob. 5WECh. 5.6 - Prob. 6WECh. 5.6 - Prob. 7WECh. 5.6 - Prob. 8WECh. 5.6 - Prob. 9WECh. 5.6 - Prob. 10WECh. 5.6 - Prob. 11WECh. 5.6 - Prob. 12WECh. 5.6 - Prob. 13WECh. 5.6 - Prob. 14WECh. 5.6 - Prob. 15WECh. 5.6 - Prob. 16WECh. 5.6 - Prob. 17WECh. 5.6 - Prob. 18WECh. 5.6 - Prob. 19WECh. 5.6 - Prob. 20WECh. 5.6 - Prob. 21WECh. 5.6 - Prob. 22WECh. 5.6 - Prob. 23WECh. 5.6 - Prob. 24WECh. 5.6 - Prob. 25WECh. 5.6 - Prob. 26WECh. 5.6 - Prob. 27WECh. 5.6 - Prob. 28WECh. 5.6 - Prob. 29WECh. 5.6 - Prob. 30WECh. 5.6 - Prob. 31WECh. 5.6 - Prob. 32WECh. 5.6 - Prob. 33WECh. 5.6 - Prob. 34WECh. 5.6 - Prob. 35WECh. 5.6 - Prob. 36WECh. 5.6 - Prob. 37WECh. 5.6 - Prob. 38WECh. 5.6 - Prob. 39WECh. 5.6 - Prob. 40WECh. 5.6 - Prob. 41WECh. 5.7 - Prob. 1WECh. 5.7 - Prob. 2WECh. 5.7 - Prob. 3WECh. 5.7 - Prob. 4WECh. 5.7 - Prob. 5WECh. 5.7 - Prob. 6WECh. 5.7 - Prob. 7WECh. 5.7 - Prob. 8WECh. 5.7 - Prob. 9WECh. 5.7 - Prob. 10WECh. 5.7 - Prob. 11WECh. 5.7 - Prob. 12WECh. 5.7 - Prob. 13WECh. 5.7 - Prob. 14WECh. 5.7 - Prob. 15WECh. 5.7 - Prob. 16WECh. 5.7 - Prob. 17WECh. 5.7 - Prob. 18WECh. 5.7 - Prob. 19WECh. 5.7 - Prob. 20WECh. 5.7 - Prob. 21WECh. 5.7 - Prob. 22WECh. 5.7 - Prob. 23WECh. 5.7 - Prob. 24WECh. 5.7 - Prob. 25WECh. 5.7 - Prob. 26WECh. 5.7 - Prob. 27WECh. 5.7 - Prob. 28WECh. 5.7 - Prob. 29WECh. 5.7 - Prob. 30WECh. 5.7 - Prob. 31WECh. 5.7 - Prob. 32WECh. 5.7 - Prob. 33WECh. 5.7 - Prob. 34WECh. 5.7 - Prob. 35WECh. 5.7 - Prob. 1MRECh. 5.7 - Prob. 2MRECh. 5.7 - Prob. 3MRECh. 5.7 - Prob. 4MRECh. 5.7 - Prob. 5MRECh. 5.7 - Prob. 6MRECh. 5.7 - Prob. 7MRECh. 5.7 - Prob. 8MRECh. 5.7 - Prob. 9MRECh. 5.7 - Prob. 10MRECh. 5.7 - Prob. 11MRECh. 5.7 - Prob. 12MRECh. 5.7 - Prob. 1STCh. 5.7 - Prob. 2STCh. 5.7 - Prob. 3STCh. 5.7 - Prob. 4STCh. 5.7 - Prob. 5STCh. 5.7 - Prob. 6STCh. 5.7 - Prob. 7STCh. 5.7 - Prob. 8STCh. 5.8 - Prob. 1OECh. 5.8 - Prob. 2OECh. 5.8 - Prob. 3OECh. 5.8 - Prob. 4OECh. 5.8 - Prob. 5OECh. 5.8 - Prob. 6OECh. 5.8 - Prob. 7OECh. 5.8 - Prob. 8OECh. 5.8 - Prob. 9OECh. 5.8 - Prob. 1WECh. 5.8 - Prob. 2WECh. 5.8 - Prob. 3WECh. 5.8 - Prob. 4WECh. 5.8 - Prob. 5WECh. 5.8 - Prob. 6WECh. 5.8 - Prob. 7WECh. 5.8 - Prob. 8WECh. 5.8 - Prob. 9WECh. 5.8 - Prob. 10WECh. 5.8 - Prob. 11WECh. 5.8 - Prob. 12WECh. 5.8 - Prob. 13WECh. 5.8 - Prob. 14WECh. 5.8 - Prob. 15WECh. 5.8 - Prob. 16WECh. 5.8 - Prob. 17WECh. 5.8 - Prob. 18WECh. 5.8 - Prob. 19WECh. 5.8 - Prob. 20WECh. 5.8 - Prob. 21WECh. 5.8 - Prob. 22WECh. 5.8 - Prob. 23WECh. 5.8 - Prob. 24WECh. 5.8 - Prob. 1PCh. 5.8 - Prob. 2PCh. 5.8 - Prob. 3PCh. 5.8 - Prob. 4PCh. 5.8 - Prob. 5PCh. 5.8 - Prob. 6PCh. 5.8 - Prob. 7PCh. 5.8 - Prob. 8PCh. 5.8 - Prob. 9PCh. 5.8 - Prob. 10PCh. 5.8 - Prob. 11PCh. 5.8 - Prob. 12PCh. 5.8 - Prob. 13PCh. 5.8 - Prob. 14PCh. 5.8 - Prob. 15PCh. 5.8 - Prob. 16PCh. 5.8 - Prob. 17PCh. 5.8 - Prob. 18PCh. 5.8 - Prob. 19PCh. 5.8 - Prob. 20PCh. 5.8 - Prob. 21PCh. 5.9 - Prob. 1WECh. 5.9 - Prob. 2WECh. 5.9 - Prob. 3WECh. 5.9 - Prob. 4WECh. 5.9 - Prob. 5WECh. 5.9 - Prob. 6WECh. 5.9 - Prob. 7WECh. 5.9 - Prob. 8WECh. 5.9 - Prob. 9WECh. 5.9 - Prob. 10WECh. 5.9 - Prob. 11WECh. 5.9 - Prob. 12WECh. 5.9 - Prob. 13WECh. 5.9 - Prob. 14WECh. 5.9 - Prob. 15WECh. 5.9 - Prob. 16WECh. 5.9 - Prob. 17WECh. 5.9 - Prob. 18WECh. 5.9 - Prob. 19WECh. 5.9 - Prob. 20WECh. 5.9 - Prob. 21WECh. 5.9 - Prob. 22WECh. 5.9 - Prob. 23WECh. 5.9 - Prob. 24WECh. 5.9 - Prob. 25WECh. 5.9 - Prob. 26WECh. 5.9 - Prob. 27WECh. 5.9 - Prob. 28WECh. 5.9 - Prob. 29WECh. 5.9 - Prob. 30WECh. 5.9 - Prob. 1PCh. 5.9 - Prob. 2PCh. 5.9 - Prob. 3PCh. 5.9 - Prob. 4PCh. 5.9 - Prob. 5PCh. 5.9 - Prob. 6PCh. 5.9 - Prob. 7PCh. 5.9 - Prob. 8PCh. 5.9 - Prob. 9PCh. 5.9 - Prob. 10PCh. 5.9 - Prob. 11PCh. 5.9 - Prob. 12PCh. 5.9 - Prob. 13PCh. 5.9 - Prob. 14PCh. 5.9 - Prob. 15PCh. 5.9 - Prob. 16PCh. 5.9 - Prob. 17PCh. 5.9 - Prob. 18PCh. 5.9 - Prob. 19PCh. 5.9 - Prob. 20PCh. 5.9 - Prob. 21PCh. 5.9 - Prob. 22PCh. 5.9 - Prob. 23PCh. 5.9 - Prob. 1MRECh. 5.9 - Prob. 2MRECh. 5.9 - Prob. 3MRECh. 5.9 - Prob. 4MRECh. 5.9 - Prob. 5MRECh. 5.9 - Prob. 6MRECh. 5.9 - Prob. 7MRECh. 5.9 - Prob. 8MRECh. 5.9 - Prob. 9MRECh. 5.9 - Prob. 10MRECh. 5.9 - Prob. 11MRECh. 5.9 - Prob. 12MRECh. 5.9 - Prob. 1STCh. 5.9 - Prob. 2STCh. 5.9 - Prob. 3STCh. 5.9 - Prob. 4STCh. 5.9 - Prob. 5STCh. 5.9 - Prob. 6STCh. 5.9 - Prob. 1ECh. 5.9 - Prob. 2ECh. 5.9 - Prob. 3ECh. 5.9 - Prob. 4ECh. 5.9 - Prob. 5ECh. 5.9 - Prob. 6ECh. 5.9 - Prob. 7ECh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - Prob. 15CRCh. 5 - Prob. 16CRCh. 5 - Prob. 17CRCh. 5 - Prob. 18CRCh. 5 - Prob. 1CTCh. 5 - Prob. 2CTCh. 5 - Prob. 3CTCh. 5 - Prob. 4CTCh. 5 - Prob. 5CTCh. 5 - Prob. 6CTCh. 5 - Prob. 7CTCh. 5 - Prob. 8CTCh. 5 - Prob. 9CTCh. 5 - Prob. 10CTCh. 5 - Prob. 11CTCh. 5 - Prob. 12CTCh. 5 - Prob. 13CTCh. 5 - Prob. 14CTCh. 5 - Prob. 15CTCh. 5 - Prob. 16CTCh. 5 - Prob. 17CTCh. 5 - Prob. 18CTCh. 5 - Prob. 19CT

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