Verified Answer :

meerkat18

To factor this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?). 
The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6. 
x - 3 = 0
x = 3
x + 2 = 0
x = -2
The two solutions are therefore, x = 3 and x = -2.

Answer:

Option 2 and 5.

The solution of the equation is x=-2 and x=3.

Step-by-step explanation:

Given : Equation \(x^2-x-6=0\)

To find : What are the solutions to the equation? Check all that apply.

Solution :

Equation \(x^2-x-6=0\)

Substitute all values from options which satisfy the equation is the solution.

1) x=-3

\((-3)^2-(-3)-6=0\)

\(9+3-6=0\)

\(12-6=0\)

\(6 eq 0\)

2) x=-2

\((-2)^2-(-2)-6=0\)

\(4+2-6=0\)

\(6-6=0\)

\(0= 0\)

3) x=0

\((0)^2-(0)-6=0\)

\(0-0-6=0\)

\(-6 eq 0\)

4) x=2

\((2)^2-(2)-6=0\)

\(4-2-6=0\)

\(-4 eq 0\)

5) x=3

\((3)^2-(3)-6=0\)

\(9-3-6=0\)

\(0=0\)

The solution of the equation is x=-2 and x=3.

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