Solve 4x-62x^3 - ScanMath

Question

Factor the expression

2 x (2 - 31 x^{2})

Evaluate

4 x - 62 x^{3}

Rewrite the expression

2 x \times 2 - 2 x \times 31 x^{2}

Solution

2 x (2 - 31 x^{2})

Show Solution

x_{1} = - \frac{62}{31}, x_{2} = 0, x_{3} = \frac{62}{31}

Alternative Form

x_{1} \approx - 0.254, x_{2} = 0, x_{3} \approx 0.254

Evaluate

4 x - 62 x^{3}

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

4 x - 62 x^{3} = 0

Factor the expression

2 x (2 - 31 x^{2}) = 0

Divide both sides

x (2 - 31 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 2 - 31 x^{2} = 0

Solve the equation

More Steps

Evaluate

2 - 31 x^{2} = 0

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

- 31 x^{2} = 0 - 2

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

- 31 x^{2} = - 2

Change the signs on both sides of the equation

31 x^{2} = 2

Divide both sides

\frac{31 x ^{2}}{31} = \frac{2}{31}

Divide the numbers

x^{2} = \frac{2}{31}

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

x = \pm \frac{2}{31}

Simplify the expression

More Steps

Evaluate

\frac{2}{31}

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

\frac{2}{31}

Multiply by the Conjugate

\frac{2 \times 31}{31 \times 31}

Multiply the numbers

\frac{62}{31 \times 31}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{62}{31}

x = \pm \frac{62}{31}

Separate the equation into 2 possible cases

x = \frac{62}{31} x = - \frac{62}{31}

x = 0 x = \frac{62}{31} x = - \frac{62}{31}

Solution

x_{1} = - \frac{62}{31}, x_{2} = 0, x_{3} = \frac{62}{31}

Alternative Form

x_{1} \approx - 0.254, x_{2} = 0, x_{3} \approx 0.254

Show Solution