4z2-20=0

Add 20 to both sides of the equation.

4z2=20

Divide each term in 4z2=20 by 4.

4z24=204

Cancel the common factor of 4.

Cancel the common factor.

4z24=204

Divide z2 by 1.

z2=204

z2=204

Divide 20 by 4.

z2=5

z2=5

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

z=±5

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

z=5

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

z=-5

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

z=5,-5

z=5,-5

The result can be shown in multiple forms.

Exact Form:

z=5,-5

Decimal Form:

z=2.23606797…,-2.23606797…

Solve using the Square Root Property 4z^2-20=0