Solve 4x^(3)-3x - ScanMath

Question

Factor the expression

x (4 x^{2} - 3)

Evaluate

4 x^{3} - 3 x

Rewrite the expression

x \times 4 x^{2} - x \times 3

Solution

x (4 x^{2} - 3)

Show Solution

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

Alternative Form

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

Evaluate

4 x^{3} - 3 x

To find the roots of the expression,set the expression equal to 0

4 x^{3} - 3 x = 0

Factor the expression

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

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

Evaluate

4 x^{2} - 3 = 0

Move the constant to the right-hand side and change its sign

4 x^{2} = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

4 x^{2} = 3

Divide both sides

\frac{4 x ^{2}}{4} = \frac{3}{4}

Divide the numbers

x^{2} = \frac{3}{4}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{3}{4}

Simplify the expression

More Steps

Evaluate

\frac{3}{4}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3}{4}

Simplify the radical expression

\frac{3}{2}

x = \pm \frac{3}{2}

Separate the equation into 2 possible cases

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

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} \approx - 0.866025, x_{2} = 0, x_{3} \approx 0.866025

Show Solution