MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

Answer:Step-by-step explanation:Choose the right statement is true about the equation (x – 4)(x + 2) = 16A. 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 = 20we replace x = 20 into (x – 4)(x + 2) = 16then 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) = 16x^2 -4x + 2x -8 = 16or 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) = 0we have x^2 - 6x +4x -24 =0or x^2 -2x -24=0That statement is right.D. One solution of the equation is x = –6.we replace x = -6 into (x – 4)(x + 2) = 16and we have ( -6 - 4)( -6 +2) =16or -10* (-4) =16or 40 = 16, wrongThe answer is C