Solve 100x^(2 )-144x^45=0

Evaluate

100 x^{2} - 144 x^{4} \times 5 = 0

Multiply the terms

100 x^{2} - 720 x^{4} = 0

Factor the expression

20 x^{2} (5 - 36 x^{2}) = 0

Divide both sides

x^{2} (5 - 36 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 5 - 36 x^{2} = 0

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

x = 0 5 - 36 x^{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{5}{6} x = - \frac{5}{6}

Solution

x_{1} = - \frac{5}{6}, x_{2} = 0, x_{3} = \frac{5}{6}

Alternative Form

x_{1} \approx - 0.372678, x_{2} = 0, x_{3} \approx 0.372678

Solve the equation