Question

Solve for x. 6x2−2=13

Answer 1

Answer: $x=\±1.58$

$\frac{6x^2}{6}=\frac{15}{6}\\\\x^2=\frac{15}{6}$

Step-by-step 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:

$\frac{6x^2}{6}=\frac{15}{6}\\\\x^2=\frac{15}{6}$

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

$\sqrt{x^2}=\±\sqrt{\frac{15}{6}}\\\\x=\±1.58$

Answer 2

Answer:

x = ±sqrt(5/2)

Step-by-step 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)