Solve -6u^6-14u^56u^414u^3

Question

Simplify the expression

- 6 u^{6} - 1176 u^{12}

Show Solution

- 6 u^{6} (1 + 196 u^{6})

Show Solution

u_{1} = - \frac{6 1037232}{28} + \frac{3 196}{28} i, u_{2} = \frac{6 1037232}{28} - \frac{3 196}{28} i, u_{3} = 0

Alternative Form

u_{1} \approx - 0.359325 + 0.207457 i, u_{2} \approx 0.359325 - 0.207457 i, u_{3} = 0

Evaluate

- 6 u^{6} - 14 u^{5} \times 6 u^{4} \times 14 u^{3}

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

- 6 u^{6} - 14 u^{5} \times 6 u^{4} \times 14 u^{3} = 0

Multiply

More Steps

- 6 u^{6} - 1176 u^{12} = 0

Factor the expression

- 6 u^{6} (1 + 196 u^{6}) = 0

Divide both sides

u^{6} (1 + 196 u^{6}) = 0

Separate the equation into 2 possible cases

u^{6} = 0 1 + 196 u^{6} = 0

The only way a power can be 0 is when the base equals 0

u = 0 1 + 196 u^{6} = 0

Solve the equation

More Steps

u = 0 u = \frac{6 1037232}{28} - \frac{3 196}{28} i u = - \frac{6 1037232}{28} + \frac{3 196}{28} i

Solution

u_{1} = - \frac{6 1037232}{28} + \frac{3 196}{28} i, u_{2} = \frac{6 1037232}{28} - \frac{3 196}{28} i, u_{3} = 0

Alternative Form

u_{1} \approx - 0.359325 + 0.207457 i, u_{2} \approx 0.359325 - 0.207457 i, u_{3} = 0

Show Solution