Question

If α and β are the roots of the quadratice equation x²- 2x - 7= 0, find the

value α² + β².

Answer 1

The identity used for this question is
A²+B² = ( A+B )² - An
Here A+B = -b/a = 2/1
And AB = c/a = -7/1
Then
A²+B²= (2)² + (-7)²
= 4+49
= 53

Answer 2

the first is , given that a and b are the zeros of the quadratic equation. Please put a and b instead of p and q