Question

3x squared =118. Solve the equation. Round to the nearest hundredth if necessary.

Answer 1

3.62

Explanation:

118 square rooted is 10.86

10.86/3 = 3.62

Answer 2

`x=\pm6.27\: \textsf{(nearest hundredth)}`

Explanation:

Given equation:

`3x^2=118`

Divide both sides by 3:

`\implies (3x^2)/(3)=(118)/(3)`

`\implies x^2=(118)/(3)`

Square root both sides:

`\implies √(x^2)=\sqrt{(118)/(3)}`

`\implies x=\pm\sqrt{(118)/(3)}`

`\implies x=\pm6.27\: \textsf{(nearest hundredth)}`