Solve 1-(81o) 58o-2536

Question

Simplify the expression

- 2535 - 4698 o^{2}

Evaluate

1 - 81 o \times 58 o - 2536

Multiply

More Steps

Multiply the terms

- 81 o \times 58 o

Multiply the terms

- 4698 o \times o

Multiply the terms

- 4698 o^{2}

1 - 4698 o^{2} - 2536

Solution

- 2535 - 4698 o^{2}

Show Solution

Factor the expression

- 3 (845 + 1566 o^{2})

Evaluate

1 - 81 o \times 58 o - 2536

Multiply

More Steps

Multiply the terms

81 o \times 58 o

Multiply the terms

4698 o \times o

Multiply the terms

4698 o^{2}

1 - 4698 o^{2} - 2536

Subtract the numbers

- 2535 - 4698 o^{2}

Solution

- 3 (845 + 1566 o^{2})

Show Solution

Find the roots

o_{1} = - \frac{13 870}{522} i, o_{2} = \frac{13 870}{522} i

Alternative Form

o_{1} \approx - 0.734569 i, o_{2} \approx 0.734569 i

Evaluate

1 - (81 o) \times 58 o - 2536

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

1 - (81 o) \times 58 o - 2536 = 0

Multiply the terms

1 - 81 o \times 58 o - 2536 = 0

Multiply

More Steps

Multiply the terms

81 o \times 58 o

Multiply the terms

4698 o \times o

Multiply the terms

4698 o^{2}

1 - 4698 o^{2} - 2536 = 0

Subtract the numbers

- 2535 - 4698 o^{2} = 0

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

- 4698 o^{2} = 0 + 2535

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

- 4698 o^{2} = 2535

Change the signs on both sides of the equation

4698 o^{2} = - 2535

Divide both sides

\frac{4698 o ^{2}}{4698} = \frac{- 2535}{4698}

Divide the numbers

o^{2} = \frac{- 2535}{4698}

Divide the numbers

More Steps

Evaluate

\frac{- 2535}{4698}

Cancel out the common factor 3

\frac{- 845}{1566}

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

- \frac{845}{1566}

o^{2} = - \frac{845}{1566}

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

o = \pm - \frac{845}{1566}

Simplify the expression

More Steps

Evaluate

- \frac{845}{1566}

Evaluate the power

\frac{845}{1566} \times - 1

Evaluate the power

\frac{845}{1566} \times i

Evaluate the power

More Steps

Evaluate

\frac{845}{1566}

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

\frac{845}{1566}

Simplify the radical expression

\frac{13 5}{1566}

Simplify the radical expression

\frac{13 5}{3 174}

Multiply by the Conjugate

\frac{13 5 \times 174}{3 174 \times 174}

Multiply the numbers

\frac{13 870}{3 174 \times 174}

Multiply the numbers

\frac{13 870}{522}

\frac{13 870}{522} i

o = \pm \frac{13 870}{522} i

Separate the equation into 2 possible cases

o = \frac{13 870}{522} i o = - \frac{13 870}{522} i

Solution

o_{1} = - \frac{13 870}{522} i, o_{2} = \frac{13 870}{522} i

Alternative Form

o_{1} \approx - 0.734569 i, o_{2} \approx 0.734569 i

Show Solution