Solve 8o^6- 451-4396

Question

Simplify the expression

8 o^{6} - 4847

Evaluate

8 o^{6} - 451 - 4396

Solution

8 o^{6} - 4847

Show Solution

o_{1} = - \frac{6 38776}{2}, o_{2} = \frac{6 38776}{2}

Alternative Form

o_{1} \approx - 2.908911, o_{2} \approx 2.908911

Evaluate

8 o^{6} - 451 - 4396

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

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

Subtract the numbers

8 o^{6} - 4847 = 0

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

8 o^{6} = 0 + 4847

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

8 o^{6} = 4847

Divide both sides

\frac{8 o ^{6}}{8} = \frac{4847}{8}

Divide the numbers

o^{6} = \frac{4847}{8}

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

o = \pm 6 \frac{4847}{8}

Simplify the expression

More Steps

Evaluate

6 \frac{4847}{8}

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

\frac{6 4847}{6 8}

Simplify the radical expression

More Steps

Evaluate

68

Write the number in exponential form with the base of 2

6 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{6 4847}{2}

Multiply by the Conjugate

\frac{6 4847 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

64847 \times 2

Use n a = mn a^{m} to expand the expression

64847 \times 6 2^{3}

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

6 4847 \times 2^{3}

Calculate the product

638776

\frac{6 38776}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{6 38776}{2}

o = \pm \frac{6 38776}{2}

Separate the equation into 2 possible cases

o = \frac{6 38776}{2} o = - \frac{6 38776}{2}

Solution

o_{1} = - \frac{6 38776}{2}, o_{2} = \frac{6 38776}{2}

Alternative Form

o_{1} \approx - 2.908911, o_{2} \approx 2.908911

Show Solution