4a2=25

Divide each term in 4a2=25 by 4.

4a24=254

Cancel the common factor of 4.

Cancel the common factor.

4a24=254

Divide a2 by 1.

a2=254

a2=254

a2=254

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

a=±254

Simplify the right side of the equation.

Rewrite 254 as 254.

a=±254

Simplify the numerator.

Rewrite 25 as 52.

a=±524

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

a=±54

a=±54

Simplify the denominator.

Rewrite 4 as 22.

a=±522

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

a=±52

a=±52

a=±52

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.

a=52

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

a=-52

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

a=52,-52

a=52,-52

a=52,-52

The result can be shown in multiple forms.

Exact Form:

a=52,-52

Decimal Form:

a=2.5,-2.5

Mixed Number Form:

a=212,-212

Solve for a 4a^2=25