Solve 1-(8o^6) 589-4319

Question

Simplify the expression

- 4318 - 4712 o^{6}

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- 2 (2159 + 2356 o^{6})

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o_{1} = - \frac{6 58293 \times 235 6 ^{5}}{4712} - \frac{6 2159 \times 235 6 ^{5}}{4712} i, o_{2} = \frac{6 58293 \times 235 6 ^{5}}{4712} + \frac{6 2159 \times 235 6 ^{5}}{4712} i

Alternative Form

o_{1} \approx - 0.853513 - 0.492776 i, o_{2} \approx 0.853513 + 0.492776 i

Evaluate

1 - (8 o^{6}) \times 589 - 4319

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

1 - (8 o^{6}) \times 589 - 4319 = 0

Multiply the terms

1 - 8 o^{6} \times 589 - 4319 = 0

Multiply the numbers

1 - 4712 o^{6} - 4319 = 0

Subtract the numbers

- 4318 - 4712 o^{6} = 0

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

- 4712 o^{6} = 0 + 4318

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

- 4712 o^{6} = 4318

Change the signs on both sides of the equation

4712 o^{6} = - 4318

Divide both sides

\frac{4712 o ^{6}}{4712} = \frac{- 4318}{4712}

Divide the numbers

o^{6} = \frac{- 4318}{4712}

Divide the numbers

More Steps

o^{6} = - \frac{2159}{2356}

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

o = \pm 6 - \frac{2159}{2356}

Simplify the expression

More Steps

o = \pm (\frac{6 58293 \times 235 6 ^{5}}{4712} + \frac{6 2159 \times 235 6 ^{5}}{4712} i)

Separate the equation into 2 possible cases

o = \frac{6 58293 \times 235 6 ^{5}}{4712} + \frac{6 2159 \times 235 6 ^{5}}{4712} i o = - \frac{6 58293 \times 235 6 ^{5}}{4712} - \frac{6 2159 \times 235 6 ^{5}}{4712} i

Solution

o_{1} = - \frac{6 58293 \times 235 6 ^{5}}{4712} - \frac{6 2159 \times 235 6 ^{5}}{4712} i, o_{2} = \frac{6 58293 \times 235 6 ^{5}}{4712} + \frac{6 2159 \times 235 6 ^{5}}{4712} i

Alternative Form

o_{1} \approx - 0.853513 - 0.492776 i, o_{2} \approx 0.853513 + 0.492776 i

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