Question

The roots of quadratic equation x(x + 8) + 12 = 0 are ______.

पर्याय

• 6 or 2

• – 6 or – 2

• 6 and – 2

• – 6 and – 2

Answer 1

The roots of quadratic equation x(x + 8) + 12 = 0 are – 6 or – 2.

Explanation:

Given quadratic equation be,

x(x + 8) + 12 = 0

`\implies` x² + 8x + 12 = 0

`\implies` x² + 2x + 6x + 12 = 0

`\implies` x(x + 2) + 6(x + 2) = 0

`\implies` (x + 2)(x + 6) = 0

Either x + 2 = 0 or x + 6 = 0

`\implies` x = – 2 or x = – 6

`\implies` x = – 2 or – 6