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

4×2-100=0
Add 100 to both sides of the equation.
4×2=100
Divide each term by 4 and simplify.
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
The complete solution is the result of both the positive and negative portions of the solution.
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