Solve 9r^2-12r^4=0

Evaluate

9 r^{2} - 12 r^{4} = 0

Factor the expression

3 r^{2} (3 - 4 r^{2}) = 0

Divide both sides

r^{2} (3 - 4 r^{2}) = 0

Separate the equation into 2 possible cases

r^{2} = 0 3 - 4 r^{2} = 0

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

r = 0 3 - 4 r^{2} = 0

Solve the equation

More Steps

r = 0 r = \frac{3}{2} r = - \frac{3}{2}

Solution

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

Alternative Form

r_{1} \approx - 0.866025, r_{2} = 0, r_{3} \approx 0.866025

Solve the equation