Solve | 3x^2 | = | 4x^5

Question

Solve the equation

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

Alternative Form

x_{1} \approx - 0.90856, x_{2} = 0, x_{3} \approx 0.90856

Evaluate

3 x^{2} = 4 x^{5}

When the expression in absolute value bars is not negative, remove the bars

3 x^{2} = 4 x^{5}

Swap the sides

4 x^{5} = 3 x^{2}

Rewrite the expression

4 x^{5} - 3 x^{2} = 0

Separate the equation into 2 possible cases

4 x^{5} - 3 x^{2} = 0, 4 x^{5} \geq 0 - 4 x^{5} - 3 x^{2} = 0, 4 x^{5} < 0

Solve the equation

More Steps

x = 0 x = \frac{3 6}{2}, 4 x^{5} \geq 0 - 4 x^{5} - 3 x^{2} = 0, 4 x^{5} < 0

Solve the inequality

More Steps

x = 0 x = \frac{3 6}{2}, x \geq 0 - 4 x^{5} - 3 x^{2} = 0, 4 x^{5} < 0

Solve the equation

More Steps

x = 0 x = \frac{3 6}{2}, x \geq 0 x = 0 x = - \frac{3 6}{2}, 4 x^{5} < 0

Solve the inequality

More Steps

x = 0 x = \frac{3 6}{2}, x \geq 0 x = 0 x = - \frac{3 6}{2}, x < 0

Find the intersection

x = 0 x = \frac{3 6}{2} x = 0 x = - \frac{3 6}{2}, x < 0

Find the intersection

x = 0 x = \frac{3 6}{2} x = - \frac{3 6}{2}

Solution

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

Alternative Form

x_{1} \approx - 0.90856, x_{2} = 0, x_{3} \approx 0.90856

Show Solution