If x – y = 6 and x * y = 16, what is the value of x^2 + y^2?

Explanation

Use algebraic identity (x – y)^2 = x^2 + y^2 – 2xy. Substituting values: 6^2 = x^2 + y^2 – 2(16) => 36 = x^2 + y^2 – 32 => x^2 + y^2 = 36 + 32 = 68. Wait: 36 + 32 = 68. Correct Option is C.