Question

if a - b = 7 and ab = 9, find the value of a^2+b^2, please answer with process

Answer 1

If a-b = 7 and ab=9, then what is a^2+b^2?

a-b- 7. On squaring we get

a^2–2ab+b^2 = 49.

So a^2+b^2 = 49+2ab = 49+2x9 = 49+18 = 67. Answer