Question

Solve for x.

6x2−2=13

Answer 1

Answer:
`x=\±1.58`

`(6x^2)/(6)=(15)/(6)\\\\x^2=(15)/(6)`

Explanation:

By the Addition property of equality, you can add 2 yo both sides of the equation:

`6x^2-2+2=13+2\\6x^2=15`

By the Division property of equality, you can divide both sides of the equation by 6, then:

`(6x^2)/(6)=(15)/(6)\\\\x^2=(15)/(6)`

Apply square root to both sides of the equation. So, you get:

`√(x^2)=\±\sqrt{(15)/(6)}\\\\x=\±1.58`

Answer 2

x = ±sqrt(5/2)

Explanation:

6x^2−2=13

Add 2 to each side

6x^2−2+2=13+2

6x^2 = 15

Divide each side by 6

6/6x^2 = 15/6

x^2 = 5/2

Take the square root of each side

sqrt(x^2) = ±sqrt(5/2)

x = ±sqrt(5/2)