Question

Find the quadratic equation whose sum of roots is (-2) and the product of the roots is (-16)?
1. x² + 2x – 16
2. x² – 2x – 16
3. x² + 2x + 16
4. x² + 16x – 2

Answer 1

Correct Answer - Option 1 : x² + 2x – 16

Given:

Sum of roots = (–2)

Product of roots = (–16)

Concept:

The equation is formed by

X² – (Sum of roots)x + (Product of roots). Just put the values in here and the equation will be formed.

Calculation:

∵ The equation is given by [x² – (Sum of roots)x + (Product of roots)]

⇒ x² – (–2)x + (–16)

⇒ x² + 2x – 16