Solve 8o^6451-4396

Question

Simplify the expression

3608 o^{6} - 4396

Evaluate

8 o^{6} \times 451 - 4396

Solution

3608 o^{6} - 4396

Show Solution

4 (902 o^{6} - 1099)

Evaluate

8 o^{6} \times 451 - 4396

Multiply the terms

3608 o^{6} - 4396

Solution

4 (902 o^{6} - 1099)

Show Solution

o_{1} = - \frac{6 1099 \times 90 2 ^{5}}{902}, o_{2} = \frac{6 1099 \times 90 2 ^{5}}{902}

Alternative Form

o_{1} \approx - 1.033472, o_{2} \approx 1.033472

Evaluate

8 o^{6} \times 451 - 4396

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

8 o^{6} \times 451 - 4396 = 0

Multiply the terms

3608 o^{6} - 4396 = 0

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

3608 o^{6} = 0 + 4396

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

3608 o^{6} = 4396

Divide both sides

\frac{3608 o ^{6}}{3608} = \frac{4396}{3608}

Divide the numbers

o^{6} = \frac{4396}{3608}

Cancel out the common factor 4

o^{6} = \frac{1099}{902}

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

o = \pm 6 \frac{1099}{902}

Simplify the expression

More Steps

Evaluate

6 \frac{1099}{902}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{6 1099}{6 902}

Multiply by the Conjugate

\frac{6 1099 \times 6 90 2 ^{5}}{6 902 \times 6 90 2 ^{5}}

The product of roots with the same index is equal to the root of the product

\frac{6 1099 \times 90 2 ^{5}}{6 902 \times 6 90 2 ^{5}}

Multiply the numbers

More Steps

Evaluate

6902 \times 6 90 2^{5}

The product of roots with the same index is equal to the root of the product

6 902 \times 90 2^{5}

Calculate the product

6 90 2^{6}

Reduce the index of the radical and exponent with 6

902

\frac{6 1099 \times 90 2 ^{5}}{902}

o = \pm \frac{6 1099 \times 90 2 ^{5}}{902}

Separate the equation into 2 possible cases

o = \frac{6 1099 \times 90 2 ^{5}}{902} o = - \frac{6 1099 \times 90 2 ^{5}}{902}

Solution

o_{1} = - \frac{6 1099 \times 90 2 ^{5}}{902}, o_{2} = \frac{6 1099 \times 90 2 ^{5}}{902}

Alternative Form

o_{1} \approx - 1.033472, o_{2} \approx 1.033472

Show Solution