8. Find all pairs of numbers whose sum of squares is 14 and whose difference of...

Question

Question

Answer 1

Answer #1

solution - let the two numbers x and y. - according to question 2 nhty² = 14 x² - y² = 4 las y2) - add equation 0 and ② (o+y?

Answer 2

Similar Homework Help Questions

Among all pairs of numbers whose difference is 22, find a pair whose product is as...

Among all pairs of numbers whose difference is 22, find a pair whose product is as small as possible. What is the minimum product? . The pair of numbers whose difference is 22 and whose product is as small as possible is (Use a comma to separate answers.) The minimum product is 1.
Among all pairs of numbers with a sum of 139, find the pair whose product is...

Among all pairs of numbers with a sum of 139, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
(8 pts) Find three positive numbers whose sum is 27 and such that the sum of...

(8 pts) Find three positive numbers whose sum is 27 and such that the sum of their squares is as large as possible.

14.8.25 Find three real numbers x, y, and z whose sum is 27 and the sum...

14.8.25 Find three real numbers x, y, and z whose sum is 27 and the sum of whose squares is as small as possible. The three numbers are (Simplify your answers. Use a comma to separate answers as needed.)
Question 11 (5 points) Solve the problem. Among all pairs of numbers whose difference is 58,...

Question 11 (5 points) Solve the problem. Among all pairs of numbers whose difference is 58, find a pair whose product is as small as possible. 1) 87 and 29 2) 29 and 29 O3) -87 and -29 O4) -29 and 29
17. The difference of two numbers is 2. The difference of their squares is 44. Find...

17. The difference of two numbers is 2. The difference of their squares is 44. Find the numbers. (sets)

ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is,...

ANSWER USING JAVA CODE (1)The sum of the squares of the first ten natural numbers is, 12 + 22 + ... + 102 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640. Find the difference between the...
Solve the problem using a system of equations in two variables. Find two positive numbers whose...

Solve the problem using a system of equations in two variables. Find two positive numbers whose squares have a sum of 25 and a difference of 7. h The two numbers are 1 (Use a comma to separate answers.)
Find all arithmetic progressions of natural numbers beginning with 3 whose sum is a three digit...

Find all arithmetic progressions of natural numbers beginning with 3 whose sum is a three digit number whose digits form a non constant geometric progression.

Find all arithmetic progressions of natural numbers beginning with 3 whose sum is a three digit...

Find all arithmetic progressions of natural numbers beginning with 3 whose sum is a three digit number whose digits form a non constant geometric progression.