If (\alpha,\beta) are the zeroes of the quadratic polynomial... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

If $\alpha,\beta$ are the zeroes of the quadratic polynomial $ax^2 + bx+c$ , $a ≠0$ then $\alpha^2+\beta^2=$

A

$\frac{1}{a^2}(b^2+2ac)$

B

$\frac{1}{a^2}(c^2+2ab)$

C

$\frac{1}{a^2}(b^2-2ac)$

D

$\frac{1}{a^2}(c^2-2ab)$

Answer

$\frac{1}{a^2}(b^2-2ac)$

Explanation

Solution

The correct option is (C): $\frac{1}{a^2}(b^2-2ac)$