SOLUTION: The sum of two squares equal 289. One number is 7 more than the other.
Algebra.Com
Question 79411: The sum of two squares equal 289. One number is 7 more than the other.
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
x^2+(x+7)^2=289
x^2+x^2+14x+49=289
x^2+14x+49-289=0
x^2+14x-240=0
(x+24)(x-10)=0
x+24=0
x=-24 answer
x-10=0
x=10 answer.
proof
10^2+17^2=289
100+189=289
289=289
RELATED QUESTIONS
The sum of the squares of two positive numbers is 808. One number is four more than the... (answered by mananth)
One number is 5 more than twice the other. The sum of their squares is 325. Find the... (answered by checkley77)
The sum of two numbers is 77. One number is 7 more than the other. Find the... (answered by Alan3354)
The sum of the squares of Maria's two kids is 289. If the boy is seven years older than... (answered by checkley75,nerdybill)
the sum of two numbers is equal to twice their difference. If one number is 4 more than... (answered by College Student)
One number is six more than another number, the sum of their squares is... (answered by ankor@dixie-net.com)
The sum of two numbers is -12.one number is 3 more than twice the other
(answered by checkley77)
One number is 7 more than twice the other number. If the sum of the two numbers is 16,... (answered by stanbon)
Jack is thinking of two positive numbers, one of them is 4 more than the other and the... (answered by algebrahouse.com)