Solve w-19w-22=w^31

Evaluate

w - 19 w - 22 = w^{3} \times 1

Subtract the terms

More Steps

- 18 w - 22 = w^{3} \times 1

Any expression multiplied by 1 remains the same

- 18 w - 22 = w^{3}

Move the expression to the left side

- 18 w - 22 - w^{3} = 0

Factor the expression

- (18 w + 22 + w^{3}) = 0

Divide both sides

18 w + 22 + w^{3} = 0

Calculate

w = 3 - 11 + 337 - 3 11 + 337 w = \frac{- 3 - 11 + 337 + 3 11 + 337}{2} + \frac{6 12366 - 594 337 + 6 12366 + 594 337}{2} i w = \frac{- 3 - 11 + 337 + 3 11 + 337}{2} - \frac{6 12366 - 594 337 + 6 12366 + 594 337}{2} i

Solution

w_{1} = \frac{- 3 - 11 + 337 + 3 11 + 337}{2} - \frac{6 12366 - 594 337 + 6 12366 + 594 337}{2} i, w_{2} = \frac{- 3 - 11 + 337 + 3 11 + 337}{2} + \frac{6 12366 - 594 337 + 6 12366 + 594 337}{2} i, w_{3} = 3 - 11 + 337 - 3 11 + 337

Alternative Form

w_{1} \approx 0.569965 - 4.355982 i, w_{2} \approx 0.569965 + 4.355982 i, w_{3} \approx - 1.139929

Solve the equation(The real numbers system)