Question

Solve the quadratic equation using factoring methods.

X^2 - 7x + 6 = 0

Answer 1

x= 6

x= 1

Explanation:

First we must factor the equation by finding two numbers which when multiplied equal 6, and when added equal -7

-6 * -1 = 6 and -6 - 1 = 7, so our numbers are -6 and -1.

We will then write this factored form as (x - 6)(x - 1)=0

Because of the zero product property (anything multiplied by zero will equal zero), we know that either x - 6 equals zero, or x - 1 equals zero.

This means there will be two solutions.

First, we will do x - 6 = 0. We can simply move the 6 to the other side by adding 6 to both sides. This gets x = 6.

Then, we will do x - 1 = 0. By adding 1 to both sides, we will get x = 1

So finally, we know that x = 6 and x = 1

Answer 2

(x-6)(x-1) = 0
Set each bracket equal to zero
X-6=0
X=6

X-1= 0
X=1