Question

The value (values) of x satisfying the equation x² – 6x – 16 = 0 is ______.

Options

• 8 or – 2

• – 8 or 2

• 8 and – 2

• – 8 or 2

Answer 1

The value (values) of x satisfying the equation x² – 6x – 16 = 0 is 8 or – 2.

Explanation:

Given quadratic equation be,

x² – 6x – 16 = 0

${\displaystyle \Rightarrow }$ x² – 8x + 2x – 16 = 0

${\displaystyle \Rightarrow }$ x(x – 8) + 2(x – 8) = 0

${\displaystyle \Rightarrow }$ (x – 8)(x + 2) = 0

Either x – 8 = 0 or x + 2 = 0

${\displaystyle \Rightarrow }$ x = 8 or x = – 2

${\displaystyle \Rightarrow }$ x = 8 or – 2