Question

Which statement is true about the equation (x – 4)(x + 2) = 16? The equation x – 4 = 16 can be used to solve for a solution of the given equation. The standard form of the equation is x2 – 2x – 8 = 0. The factored form of the equation is (x + 4)(x – 6) = 0. One solution of the equation is x = –6.

Answer 1

C: The factored form of the equation is (x + 4)(x – 6) = 0.

Explanation:

Answer 2

Explanation:

Choose the right statement is true about the equation (x – 4)(x + 2) = 16

A. The equation x – 4 = 16 can be used to solve for a solution of the given equation.

we have x - 4 = 16 or x = 4+ 16, x = 20

we replace x = 20 into (x – 4)(x + 2) = 16

then we have (20-4)(20+2) = 16, but it is wrong.

B. The standard form of the equation is x2 – 2x – 8 = 0.

we developp: (x – 4)(x + 2) = 16

x^2 -4x + 2x -8 = 16

or x^2 -2x -24 =0

So this statement is wrong.

C. The factored form of the equation is (x + 4)(x – 6) = 0.

we developp: (x + 4)(x – 6) = 0

we have x^2 - 6x +4x -24 =0

or x^2 -2x -24=0

That statement is right.

D. One solution of the equation is x = –6.

we replace x = -6 into (x – 4)(x + 2) = 16

and we have ( -6 - 4)( -6 +2) =16

or -10* (-4) =16

or 40 = 16, wrong

The answer is C