The difference of two numbers is 25. The sum of their squares is 975. Find their product.

Answer 1

(x-25)^2 + x^2= 975

2x^2 - 50x = 975- 625 = 350

x^2 -25x - 175 =0

x= 25/2 + or - (1/2)sqr(625 + 700)= 30.7 or -5.7

y =x-25 = 5.7

5.7^2 + 30.7^2 = 32.5+ 942.5= 975 (rounded off)

xy = 5.7(30.7) = 175 (rounded off)