Solve 1-8o^6-451-4396

Question

Simplify the expression

- 4846 - 8 o^{6}

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- 2 (2423 + 4 o^{6})

Show Solution

o_{1} = - \frac{6 1046736}{4} - \frac{6 38768}{4} i, o_{2} = \frac{6 1046736}{4} + \frac{6 38768}{4} i

Alternative Form

o_{1} \approx - 2.519105 - 1.454406 i, o_{2} \approx 2.519105 + 1.454406 i

Evaluate

1 - 8 o^{6} - 451 - 4396

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

1 - 8 o^{6} - 451 - 4396 = 0

Subtract the numbers

- 450 - 8 o^{6} - 4396 = 0

Subtract the numbers

- 4846 - 8 o^{6} = 0

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

- 8 o^{6} = 0 + 4846

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

- 8 o^{6} = 4846

Change the signs on both sides of the equation

8 o^{6} = - 4846

Divide both sides

\frac{8 o ^{6}}{8} = \frac{- 4846}{8}

Divide the numbers

o^{6} = \frac{- 4846}{8}

Divide the numbers

More Steps

o^{6} = - \frac{2423}{4}

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

o = \pm 6 - \frac{2423}{4}

Simplify the expression

More Steps

o = \pm (\frac{6 1046736}{4} + \frac{6 38768}{4} i)

Separate the equation into 2 possible cases

o = \frac{6 1046736}{4} + \frac{6 38768}{4} i o = - \frac{6 1046736}{4} - \frac{6 38768}{4} i

Solution

o_{1} = - \frac{6 1046736}{4} - \frac{6 38768}{4} i, o_{2} = \frac{6 1046736}{4} + \frac{6 38768}{4} i

Alternative Form

o_{1} \approx - 2.519105 - 1.454406 i, o_{2} \approx 2.519105 + 1.454406 i

Show Solution