Answer:
x = 3 and x = -2
Step-by-step explanation:
The given equation is :
[tex]x^2-x-6=0[/tex]
We need to solve the given equation.
We can solve it using Completing the Square method.
We take two numbers such that their product is -6 and sum is -1.
So,
[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]
so, the values of x are 3 and -2.