Answered: Find two positive numbers whose sum is…

Math

Algebra

Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 11P

See similar textbooks

Related questions

Q: Find two numbers whose sum is a , if the product of one by the cube of the other is to be a maximum.

A: We have to find number

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

Q: Find two numbers hose product is 100 and whose sum is minimum.

Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: product

A: We will solve the problem.

Q: Find two positive real numbers such that the sum of the first number squared and the second number…

Q: Find two numbers whose sum is 60, such that the sum of the square of one number plus twelve times…

A: Let the two numbers are x and y. Sum of two numbers is 60. x+y=60 ⋯1…

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. You must use optimization.

A: Given data is: The product of two positive numbers is 36. To find the two positive numbers whose sum…

Q: Find two numbers whose difference is 100 and whose product is a minimum.

A: Find two numbers whose difference is 100 and whose product is a minimum

Q: Find two positive numbers with product 256 and whose sum is a minimum. Enter your answers in…

Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

Q: Find two positive numbers whose product is 100 and whose sum is a minimum. (This is optimization…

A: Let's assume two positive numbers are a and b Now, We know that for two positive numbers a+b2≥ab…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

A: Let one number be 'x' and other number be 'y'. Given that sum of twice of one number and thrice of…

Q: Find two positive numbers with product 484 and whose sum is a minimum. Enter your answers in…

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

Q: 1. Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find two numbers whose difference is 118 and whose product is a minimum;

Q: Find two numbers whose sum is 15, if the product of the square of one by the cube of the other is to…

A: We have to fine two numbers for given conditions.

Q: Find two positive numbers whose product is 18 and for which the sum of one and 2 times the other is…

A: It is given that the product of two positive number is 18 Let the first number will be x and second…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

Q: A rectangle with length L and width W is cut into four smaller rectangles by two lines parallel to…

Q: Find two numbers whose sum is 10, and the sum of whose square is minimum.

Q: 3. Find two positive read numbers such that the sum of the first number squared and the second…

A: Let the numbers are x and y. x2 + y = 48 .................(1) y = 48 - x2 The product of two…

Q: Find three numbers whose sum is 9 and whose sum of squares is a minimum. The three numbers are.

Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

Q: Find two numbers whose sum is a, if the product of one by the cube of the other is to be a maximum.

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: Find two numbers whose difference is 6 such that the sum of their squares is a minimum.

Q: Find two numbers whose sum is 50 such that the square of one number plus six times the other number…

A: Let 'x' be the one number and the other number is (50-x).

Q: Of all numbers whose difference is 6, find the two that have the minimum product.

Q: Find two numbers whose difference is 20 and whose product is a minimum.

A: Given informationDifference of two no. is 20

Q: Find two positive numbers whose product is 192 and the sum of the first and three times the second…

A: Suppose two positive numbers are x and y The product of numbers are 192 therefore, xy=192 ⇒y=192x…

Q: Find two numbers such that the sum of the first and twice the second is 56 and whose product is…

A: Sum of the first and twice the second is 56.

Q: The sum of two positive integers is 25. What is the minimum sum of their squares ?

A: Given that, the sum of two positive integers is 25. Let x and y be the two positive numbers whose…

Q: Find two positive numbers whose product is 45 and for which the sum of one number and 6 times the…

Q: Find two numbers whose difference is 8 and whose product is a minimum.

A: Let x and y be the required numbers. Given that the difference of the numbers is 8.

Q: The sum of three positive numbers is 30, find the three numbers if their product is minimum?

Q: Find two numbers whose difference is 100 and whose product is a minimum

A: To find the two numbers whose difference is 100 and whose product is a minimum Given information:…

Q: Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the…

A: first we find factors of 64 2 64 2 32 2 16 2 8 2 4 2 2 1 therefore 64= 2 x32 and…

Q: Find the two positive numbers whose product is a maximum and the sum of one is five times the other…

Q: 4. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: For minimum , second derivative of the function should be positive.

Q: Find two numbers whose difference is 42 and whose product is a minimum. Step 1 If two numbers have a…

Q: Find two numbers whose difference is 154 and whose product is a minimum.

Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

Q: . The sum of two numbers is b, what is the minimum value for the sum of their cubes?

Q: Find two positive real numbers whose sum is 40 and whose product is a maximum.

A: A function f(x) is said to have a maximum value at a point c when the first derivative of the…

Q: Find three numbers whose sum is 9 and whose sum of squares is a minimum.

A: Construct a system for optimization using the information that, the three numbers whose sum is 9 and…

Q: Find two positive numbers whose product is 2 and the sum of one number and the square of the other…

A: Let x and y be the required numbers. Given that the product of two numbers is 2. That is, Now…

Q: Find three positive numbers whose sum is 400 and whose product is a maximum. Answer (separate by…

A: Let the three numbers be x, y, z. The sum of numbers = 400. Therefore, x+y+z= 400.…

Question

Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an average speed of 100 kilometers per hour. The salesperson needs to arrive at the destination in another hour and 20 minutes. Find the average speed required for the remainder of the trip.
At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?
A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.
Thanh and Nhat leave their office in Sacramento at the same time. Thanh drives north on I-5 at a speed of 72 miles per hour. Nhat drives south on I-5 at a speed of 76 miles per hour. How long will it take them to be 330 miles apart?
The surface area of a cube varies directly as the square of the length of an edge. If the surface area of a cube that has edges 8 inches long is 384 square inches, find the square area of a cube that has edges 10 inches long.