Solve -8o^2- 316-7272

Question

Simplify the expression

- 8 o^{2} - 7588

Evaluate

- 8 o^{2} - 316 - 7272

Solution

- 8 o^{2} - 7588

Show Solution

- 4 (2 o^{2} + 1897)

Evaluate

- 8 o^{2} - 316 - 7272

Subtract the numbers

- 8 o^{2} - 7588

Solution

- 4 (2 o^{2} + 1897)

Show Solution

o_{1} = - \frac{3794}{2} i, o_{2} = \frac{3794}{2} i

Alternative Form

o_{1} \approx - 30.797727 i, o_{2} \approx 30.797727 i

Evaluate

- 8 o^{2} - 316 - 7272

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

- 8 o^{2} - 316 - 7272 = 0

Subtract the numbers

- 8 o^{2} - 7588 = 0

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

- 8 o^{2} = 0 + 7588

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

- 8 o^{2} = 7588

Change the signs on both sides of the equation

8 o^{2} = - 7588

Divide both sides

\frac{8 o ^{2}}{8} = \frac{- 7588}{8}

Divide the numbers

o^{2} = \frac{- 7588}{8}

Divide the numbers

More Steps

Evaluate

\frac{- 7588}{8}

Cancel out the common factor 4

\frac{- 1897}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1897}{2}

o^{2} = - \frac{1897}{2}

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

o = \pm - \frac{1897}{2}

Simplify the expression

More Steps

Evaluate

- \frac{1897}{2}

Evaluate the power

\frac{1897}{2} \times - 1

Evaluate the power

\frac{1897}{2} \times i

Evaluate the power

More Steps

Evaluate

\frac{1897}{2}

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

\frac{1897}{2}

Multiply by the Conjugate

\frac{1897 \times 2}{2 \times 2}

Multiply the numbers

\frac{3794}{2 \times 2}

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

\frac{3794}{2}

\frac{3794}{2} i

o = \pm \frac{3794}{2} i

Separate the equation into 2 possible cases

o = \frac{3794}{2} i o = - \frac{3794}{2} i

Solution

o_{1} = - \frac{3794}{2} i, o_{2} = \frac{3794}{2} i

Alternative Form

o_{1} \approx - 30.797727 i, o_{2} \approx 30.797727 i

Show Solution