Solving Quadratic Equations: Factoring

Assignment Active

Solving a Quadratic Equation

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.

Question

Mathematics

Quincy Warner

15 July, 07:19

Solving Quadratic Equations: Factoring

Assignment Active

Solving a Quadratic Equation

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.

+3

Answers (1)

Know the Answer?

Haley Mendez · Answer 1

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

Step-by-step explanation:

Because (x-4) (x+2) = x^2-4x+2x-8=16,

so that means x^2-2x-8=16,

move 16 to the other side,

you get x^2-2x-8-16=0,

simplify,

you get x^2-2x-24=0,

which satisfies (x+4) (x-6) = 0 when factored out.

Because (x+4) (x-6) = x^2+4x-6x-24=x^2-2x-24=0.