Solve 828-242-77o^6

Question

Simplify the expression

586 - 77 o^{6}

Evaluate

828 - 242 - 77 o^{6}

Solution

586 - 77 o^{6}

Show Solution

o_{1} = - \frac{6 586 \times 7 7 ^{5}}{77}, o_{2} = \frac{6 586 \times 7 7 ^{5}}{77}

Alternative Form

o_{1} \approx - 1.402494, o_{2} \approx 1.402494

Evaluate

828 - 242 - 77 o^{6}

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

828 - 242 - 77 o^{6} = 0

Subtract the numbers

586 - 77 o^{6} = 0

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

- 77 o^{6} = 0 - 586

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

- 77 o^{6} = - 586

Change the signs on both sides of the equation

77 o^{6} = 586

Divide both sides

\frac{77 o ^{6}}{77} = \frac{586}{77}

Divide the numbers

o^{6} = \frac{586}{77}

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

o = \pm 6 \frac{586}{77}

Simplify the expression

More Steps

Evaluate

6 \frac{586}{77}

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

\frac{6 586}{6 77}

Multiply by the Conjugate

\frac{6 586 \times 6 7 7 ^{5}}{6 77 \times 6 7 7 ^{5}}

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

\frac{6 586 \times 7 7 ^{5}}{6 77 \times 6 7 7 ^{5}}

Multiply the numbers

More Steps

Evaluate

677 \times 6 7 7^{5}

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

6 77 \times 7 7^{5}

Calculate the product

6 7 7^{6}

Reduce the index of the radical and exponent with 6

77

\frac{6 586 \times 7 7 ^{5}}{77}

o = \pm \frac{6 586 \times 7 7 ^{5}}{77}

Separate the equation into 2 possible cases

o = \frac{6 586 \times 7 7 ^{5}}{77} o = - \frac{6 586 \times 7 7 ^{5}}{77}

Solution

o_{1} = - \frac{6 586 \times 7 7 ^{5}}{77}, o_{2} = \frac{6 586 \times 7 7 ^{5}}{77}

Alternative Form

o_{1} \approx - 1.402494, o_{2} \approx 1.402494

Show Solution