Solve -100x^2 41x-4000

Question

Simplify the expression

- 4100 x^{3} - 4000

Show Solution

- 100 (41 x^{3} + 40)

Show Solution

x = - \frac{2 3 8405}{41}

Alternative Form

x \approx - 0.991803

Evaluate

- 100 x^{2} \times 41 x - 4000

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

- 100 x^{2} \times 41 x - 4000 = 0

Multiply

More Steps

- 4100 x^{3} - 4000 = 0

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

- 4100 x^{3} = 0 + 4000

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

- 4100 x^{3} = 4000

Change the signs on both sides of the equation

4100 x^{3} = - 4000

Divide both sides

\frac{4100 x ^{3}}{4100} = \frac{- 4000}{4100}

Divide the numbers

x^{3} = \frac{- 4000}{4100}

Divide the numbers

More Steps

x^{3} = - \frac{40}{41}

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

3 x^{3} = 3 - \frac{40}{41}

Calculate

x = 3 - \frac{40}{41}

Solution

More Steps

x = - \frac{2 3 8405}{41}

Alternative Form

x \approx - 0.991803

Show Solution