Respuesta :
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)
Answer: [tex]x=\±1.58[/tex]
[tex]\frac{6x^2}{6}=\frac{15}{6}\\\\x^2=\frac{15}{6}[/tex]
Step-by-step explanation:
By the Addition property of equality, you can add 2 yo both sides of the equation:
[tex]6x^2-2+2=13+2\\6x^2=15[/tex]
By the Division property of equality, you can divide both sides of the equation by 6, then:
[tex]\frac{6x^2}{6}=\frac{15}{6}\\\\x^2=\frac{15}{6}[/tex]
Apply square root to both sides of the equation. So, you get:
[tex]\sqrt{x^2}=\±\sqrt{\frac{15}{6}}\\\\x=\±1.58[/tex]