Solve x^2-2x=24 by factoring.

x^2-2x=24
x^2-2x-24=0
(x-2)^2 (x+6)=0
x=2 or x=-6
[-6,2](answer)

little mistake

x²-2x-24=(x-4)(x+6)

Factoring

x^2 - 2x - 24
=(x + 4)(x - 6)
Roots are -4 and 6.

I'm not sure what you mean by that.

I thought I had to put them in like ordered pairs.

I don't think it should matter. Perhaps your teacher might have some requirement. The answers are -4 and 6. These are both domain values for the function. When expressing domain and range values in a function, the x and y values are shown as (x,y) indicating (domain, range). So maybe you could express these as (-4,0) and (6,0). Maybe someone else can comment here about this.

To solve the equation x^2 - 2x = 24 by factoring, follow these steps:

1. Move all the terms to one side of the equation to get the equation in standard form. In this case, subtract 24 from both sides:
x^2 - 2x - 24 = 0

2. Look for two numbers that multiply to give the constant term (-24) and add up to give the coefficient of the x term (-2). In this case, the numbers are -6 and 4:
(x - 6)(x + 4) = 0

3. Equate each factor to zero and solve for x:
x - 6 = 0 --> x = 6
x + 4 = 0 --> x = -4

So, the solutions to the equation x^2 - 2x = 24 are x = 6 and x = -4.