Question

If (a+b)^2 = 37 and ab=5 what is a^2 + b^2

Answer 1

`(a+b)^2 = 37a^2 + 2ab + b^2 = 37\\a^2 + 2(5) + b^2 = 37\\a^2 + b^2 + 10 = 37\\a^2 + b^2 = 27`

Answer: 27

Answer 2

(a+b)^2 = 37

a^2 + 2ab + b^2 = 37

Substitute ab = 5 into a^2 + 2ab + b^2 = 37

a^2 + 2(5) + b^2 = 37

a^2 + b^2 + 10 = 37

a^2 + b^2 = 27

Answer

a^2 + b^2 = 27