2y2-162=0

Add 162 to both sides of the equation.

2y2=162

Divide each term in 2y2=162 by 2.

2y22=1622

Cancel the common factor of 2.

Cancel the common factor.

2y22=1622

Divide y2 by 1.

y2=1622

y2=1622

Divide 162 by 2.

y2=81

y2=81

Take the square root of both sides of the equation to eliminate the exponent on the left side.

y=±81

Simplify the right side of the equation.

Rewrite 81 as 92.

y=±92

Pull terms out from under the radical, assuming positive real numbers.

y=±9

y=±9

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

y=9

Next, use the negative value of the ± to find the second solution.

y=-9

The complete solution is the result of both the positive and negative portions of the solution.

y=9,-9

y=9,-9

y=9,-9

Solve for y 2y^2-162=0