Question

Which statement is true about the equation (x - 4)(x + 2) = 16?

Answer 1

Answer:

Step-by-step explanation:

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

From: x- 4 = 16, we find x= 4+16, or x=20.

Replace x=20 for the equation (x-4)(x+2)=16

we find that: (20-4)(20+2) = 16*22 $\neq$ 16

So A is wrong.

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

(x - 4)(x + 2) = 16

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

or x^2 -2x -8 -16 =0

or x^2 -2x -24=0

Then, B is wrong.

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

We can develop: (x + 4)(x - 6) = 0

or x^2 -6x +4x -24=0

or x^2 -2x -24 =0

So C is right.

D) One solution of the equation is x = -6.

Replace x=-6 we have (x-4)(x+2) = (-6 -4)(-6+2) = (-10)(-4) = 40$\neq$ 16.

So D is wrong.

Finally, C is right.

Answer 2

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