Solve x^2 - 36x^68 = 0

Evaluate

x^{2} - 36 x^{6} \times 8 = 0

Multiply the terms

x^{2} - 288 x^{6} = 0

Factor the expression

x^{2} (1 - 288 x^{4}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 288 x^{4} = 0

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

x = 0 1 - 288 x^{4} = 0

Solve the equation

More Steps

x = 0 x = \frac{4 72}{12} x = - \frac{4 72}{12}

Solution

x_{1} = - \frac{4 72}{12}, x_{2} = 0, x_{3} = \frac{4 72}{12}

Alternative Form

x_{1} \approx - 0.242746, x_{2} = 0, x_{3} \approx 0.242746

Solve the equation