Multiple Choice Questions

If a b c are non zero real numbers such that a b c 0 then what are the...........

Quantitative Aptitude (CDS) Algebra

If a, b, c are non-zero real numbers such that a + b + c = 0, then what are the roots of the equation ax² + bx + c = 0 ?

This questions was previously asked in

2023 CDS -1 MATH

2, 1 + (c/a)

1, a/c

1, c/a

2, (c/a) - 1

- Given that $a + b + c = 0$ , we have an equation $a x^{2} + b x + c = 0$ .

- Since $b + c = - a$ , substituting in the equation, the roots are determined by the equation's symmetry.

- For roots of a quadratic equation, if $p$ and $q$ are roots, then by Vieta’s formulas:

- $p + q = - b / a$

- $p q = c / a$

- By symmetry and substituting values, one root must be 1.

- The product of roots suggests the other root is $c / a$ .

Correct Option:

Option 3: 1, c/a

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