Question

When solved for x, what is the product when the roots of the quadratic equation are multiplied? x^2 − 8 = 8

A) −16

B) −8

C) 0

D) 16

Answer 1

Answer: -16

Step-by-step explanation: I took the quiz

Answer 2

A) -16

Step-by-step explanation

The given equation is

`{x}^(2) - 8 = 8`

Isolate the constant terms:

`{x}^(2) = 8 + 8`

Simplify

`{x}^(2) = 16`

Take square root

`x = \pm \: √(16)`

`x = \pm \: 4`

Split the plus or minus sign

`x = - 4 \: or \: x = 4`

The product is

`- 4 * 4 = - 16`