2w2-10=0

Add 10 to both sides of the equation.

2w2=10

Divide each term in 2w2=10 by 2.

2w22=102

Cancel the common factor of 2.

Cancel the common factor.

2w22=102

Divide w2 by 1.

w2=102

w2=102

Divide 10 by 2.

w2=5

w2=5

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

w=±5

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

w=5

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

w=-5

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

w=5,-5

w=5,-5

The result can be shown in multiple forms.

Exact Form:

w=5,-5

Decimal Form:

w=2.23606797…,-2.23606797…

Solve for w 2w^2-10=0