Question

Given the quadratic equation ² + + = 0 where , , are real numbers and ≠ 0, which of the following is the sum of its roots? *

A.) a
B.) c
C.) -b/a
D.) c/a

Answer 1

Here is a more clearer version of the same question ;

29 1.2. Constructing Direct Proofs 1. Let a, b, and c be real numbers with a 0. The solutions of the quadratic equation ax 2 + bx + c = 0 are given by the quadratic formula, which states that the solutions are xi and x2. where and x2 2a 2a (a) Prove that the sum of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to -b/a . (b) Prove that the product of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to c/a.

The proving of both a) and b) has been done

Explanation:

The step by step explanation has been given in the attachment below.

Explanation: