Question

Which would be the best method to use to solve the following equation. Explain your reasoning.

Methods:

Factoring
Square root Property
Completing the Square
Quadratic Formula

x^2-x-6=0
Method:
Why:

Answer 1

x = 3 and x = -2

Explanation:

The given equation is :

`x^2-x-6=0`

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,

`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`

so, the values of x are 3 and -2.