4y2=36
Divide each term in 4y2=36 by 4.
4y24=364
Cancel the common factor of 4.
Cancel the common factor.
4y24=364
Divide y2 by 1.
y2=364
y2=364
Divide 36 by 4.
y2=9
y2=9
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y=±9
Simplify the right side of the equation.
Rewrite 9 as 32.
y=±32
Pull terms out from under the radical, assuming positive real numbers.
y=±3
y=±3
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.
y=3
Next, use the negative value of the ± to find the second solution.
y=-3
The complete solution is the result of both the positive and negative portions of the solution.
y=3,-3
y=3,-3
y=3,-3
Solve using the Square Root Property 4y^2=36