Solve -3y^2-4y-4 - ScanMath

Question

Factor the expression

- (3 y^{2} + 4 y + 4)

Show Solution

y_{1} = - \frac{2}{3} - \frac{2 2}{3} i, y_{2} = - \frac{2}{3} + \frac{2 2}{3} i

Alternative Form

y_{1} \approx - 0. \dot{6} - 0.942809 i, y_{2} \approx - 0. \dot{6} + 0.942809 i

Evaluate

- 3 y^{2} - 4 y - 4

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

- 3 y^{2} - 4 y - 4 = 0

Multiply both sides

3 y^{2} + 4 y + 4 = 0

Substitute a= 3,b= 4 and c= 4 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{- 4 \pm 4 ^{2} - 4 \times 3 \times 4}{2 \times 3}

Simplify the expression

y = \frac{- 4 \pm 4 ^{2} - 4 \times 3 \times 4}{6}

Simplify the expression

More Steps

y = \frac{- 4 \pm - 32}{6}

Simplify the radical expression

More Steps

y = \frac{- 4 \pm 4 2 \times i}{6}

Separate the equation into 2 possible cases

y = \frac{- 4 + 4 2 \times i}{6} y = \frac{- 4 - 4 2 \times i}{6}

Simplify the expression

More Steps

y = - \frac{2}{3} + \frac{2 2}{3} i y = \frac{- 4 - 4 2 \times i}{6}

Simplify the expression

More Steps

y = - \frac{2}{3} + \frac{2 2}{3} i y = - \frac{2}{3} - \frac{2 2}{3} i

Solution

y_{1} = - \frac{2}{3} - \frac{2 2}{3} i, y_{2} = - \frac{2}{3} + \frac{2 2}{3} i

Alternative Form

y_{1} \approx - 0. \dot{6} - 0.942809 i, y_{2} \approx - 0. \dot{6} + 0.942809 i

Show Solution