Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Chapter 3.1, Problem 68E
To determine

To calculate: .The equation of patio and solve the value for x .

Expert Solution & Answer
Check Mark

Answer to Problem 68E

The required value of x is 7 .

Explanation of Solution

Given Information:

The rectangular patio whose length is 25ft and width is 15ft . Also, the owner of patio is add 329ft to the area of patio.

Formula Used:

Quadratic formula:

If ax2+bx+c=0 then x=b±b24ac2a

Where a,b,c are constant and a0 .

Calculation:

Consider the length of patio is 25ft and width of patio is 15ft .

Let, x be the extended distance of patio.

Now, the equation of patio is:

  (25+x)(15+x)(15×25)=329

Simplify the above equation.

  (25+x)(15+x)(15×25)=329x2+40x+375375=329x2+40x329=0

Now, use quadratic formula in the above equation.

  x=b±b24ac2a

Substitute 1 for a , 40 for b and 329 for c in the above equation.

  x=40±4024(1)(329)2(1)=40±1600+13162=40±29162=40±542

Simplify the equation.

  x=40±542=40+542,40542=142,942=7,47

Since, x is measurement and it is known that the measurement cannot be negative.

Thus, the solution of x is 7 .

Hence, the required solution of x is 7 .

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - 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