# Solve for a 4a^2=25 4a2=25
Divide each term by 4 and simplify.
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
The complete solution is the result of both the positive and negative portions of the solution.
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

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