Solve x^3 -23x^2 167x-385

Question

Simplify the expression

- 3840 x^{3} - 385

Show Solution

- 5 (768 x^{3} + 77)

Show Solution

x = - \frac{3 1386}{24}

Alternative Form

x \approx - 0.464561

Evaluate

x^{3} - 23 x^{2} \times 167 x - 385

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

x^{3} - 23 x^{2} \times 167 x - 385 = 0

Multiply

More Steps

x^{3} - 3841 x^{3} - 385 = 0

Subtract the terms

More Steps

- 3840 x^{3} - 385 = 0

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

- 3840 x^{3} = 0 + 385

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

- 3840 x^{3} = 385

Change the signs on both sides of the equation

3840 x^{3} = - 385

Divide both sides

\frac{3840 x ^{3}}{3840} = \frac{- 385}{3840}

Divide the numbers

x^{3} = \frac{- 385}{3840}

Divide the numbers

More Steps

x^{3} = - \frac{77}{768}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - \frac{77}{768}

Calculate

x = 3 - \frac{77}{768}

Solution

More Steps

x = - \frac{3 1386}{24}

Alternative Form

x \approx - 0.464561

Show Solution