Solve 9^2 r^2=(r^3)^2

Evaluate

9^{2} r^{2} = (r^{3})^{2}

Simplify

More Steps

9^{2} r^{2} = r^{6}

Move the expression to the left side

9^{2} r^{2} - r^{6} = 0

Add or subtract both sides

81 r^{2} - r^{6} = 0

Factor the expression

r^{2} (81 - r^{4}) = 0

Separate the equation into 2 possible cases

r^{2} = 0 81 - r^{4} = 0

The only way a power can be 0 is when the base equals 0

r = 0 81 - r^{4} = 0

Solve the equation

More Steps

r = 0 r = 3 r = - 3

Solution

r_{1} = - 3, r_{2} = 0, r_{3} = 3

Solve the equation