Solve 81x^2 - 36x^4 = 0

Evaluate

81 x^{2} - 36 x^{4} = 0

Factor the expression

9 x^{2} (9 - 4 x^{2}) = 0

Divide both sides

x^{2} (9 - 4 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 9 - 4 x^{2} = 0

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

x = 0 9 - 4 x^{2} = 0

Solve the equation

More Steps

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

Solution

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

Alternative Form

x_{1} = - 1.5, x_{2} = 0, x_{3} = 1.5

Solve the equation