Question

The roots of the quadratic equation x² – 6x – 7 = 0 are ______.

Options

• –1 and 7

• 1 and 7

• –1 or 7

• 1 and – 7

Answer 1

The roots of the quadratic equation x² – 6x – 7 = 0 are –1 or 7.

Explanation:

Given quadratic equation be,

x² – 6x – 7 = 0

`\implies` x² – 7x + x – 7 = 0

`\implies` x(x – 7) + 1(x – 7) = 0

`\implies` (x – 7)(x + 1) = 0

Either x – 7 = 0 or x + 1 = 0

`\implies` x = 7 or x = – 1

`\implies` x = 7 or – 1