4×2-100=0

Add 100 to both sides of the equation.

4×2=100

Divide each term in 4×2=100 by 4.

4×24=1004

Cancel the common factor of 4.

Cancel the common factor.

4×24=1004

Divide x2 by 1.

x2=1004

x2=1004

Divide 100 by 4.

x2=25

x2=25

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

x=±25

Simplify the right side of the equation.

Rewrite 25 as 52.

x=±52

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

x=±5

x=±5

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.

x=5

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

x=-5

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

x=5,-5

x=5,-5

x=5,-5

Solve Using the Square Root Property 4x^2-100=0