Question

What are the solutions to this equation?

2x² = -10x + 12


X= 1
X = -2
X= -6
x = 3
X= -3
X= 6

Answer 1

X = 1

Explanation:

In order to solve this problem, we need to input the answer choices in for x.

`2(1)^2=-10(1)+12`

`(1)^2`

`2*1=-10+12`

`2=2`

We know that X = 1 is correct.

Now, we need to try X = -2.

`2(-2)^2=-10(-2)+12`

`2(-4)=20+12`

`-8=32`

This is not a solution.

X = -6 is the next one we will be testing.

`2(-6)^2=-10(-6)+12`

`2*-36=60+12`

`-72=72`

This is not a solution.

X = 3 is the next one we will be testing.

`2(3)^2=-10(3)+12`

`2*9=-30+12`

`18=-18`

This is not a solution.

X = -3 is the next one we will be testing.

`2(-3)^2=-10(-3)+12`

`2*-9=30+12`

`-18=42`

This is not a solution.

X = 6 is the last one we will be testing.

`2(6)^2=-10(6)+12`

`2*36=-60+12`

`72=-48`

This is not a solution either.

So, the only solution is X = 1.