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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

Respuesta :

ANSWER

A) -16

EXPLANATION

The given equation is

[tex] {x}^{2} - 8 = 8[/tex]

Isolate the constant terms:

[tex] {x}^{2} = 8 + 8[/tex]

Simplify

[tex] {x}^{2} = 16[/tex]

Take square root

[tex]x = \pm \: \sqrt{16} [/tex]

[tex]x = \pm \: 4[/tex]

Split the plus or minus sign

[tex]x = - 4 \: or \: x = 4[/tex]

The product is

[tex] - 4 \times 4 = - 16[/tex]

Answer: -16

Step-by-step explanation: I took the quiz