Solve -8y y-3 - ScanMath

Question

Simplify the expression

- 8 y^{2} - 3

Evaluate

- 8 y \times y - 3

Solution

- 8 y^{2} - 3

Show Solution

y_{1} = - \frac{6}{4} i, y_{2} = \frac{6}{4} i

Alternative Form

y_{1} \approx - 0.612372 i, y_{2} \approx 0.612372 i

Evaluate

- 8 y \times y - 3

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

- 8 y \times y - 3 = 0

Multiply the terms

- 8 y^{2} - 3 = 0

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

- 8 y^{2} = 0 + 3

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

- 8 y^{2} = 3

Change the signs on both sides of the equation

8 y^{2} = - 3

Divide both sides

\frac{8 y ^{2}}{8} = \frac{- 3}{8}

Divide the numbers

y^{2} = \frac{- 3}{8}

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

y^{2} = - \frac{3}{8}

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

y = \pm - \frac{3}{8}

Simplify the expression

More Steps

Evaluate

- \frac{3}{8}

Evaluate the power

\frac{3}{8} \times - 1

Evaluate the power

\frac{3}{8} \times i

Evaluate the power

More Steps

Evaluate

\frac{3}{8}

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

\frac{3}{8}

Simplify the radical expression

\frac{3}{2 2}

Multiply by the Conjugate

\frac{3 \times 2}{2 2 \times 2}

Multiply the numbers

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

Multiply the numbers

\frac{6}{4}

\frac{6}{4} i

y = \pm \frac{6}{4} i

Separate the equation into 2 possible cases

y = \frac{6}{4} i y = - \frac{6}{4} i

Solution

y_{1} = - \frac{6}{4} i, y_{2} = \frac{6}{4} i

Alternative Form

y_{1} \approx - 0.612372 i, y_{2} \approx 0.612372 i

Show Solution