Solve -10y^2-135y-467

Evaluate

- 10 y^{2} - 135 y - 467

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

- 10 y^{2} - 135 y - 467 = 0

Multiply both sides

10 y^{2} + 135 y + 467 = 0

Substitute a= 10,b= 135 and c= 467 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{- 135 \pm 13 5 ^{2} - 4 \times 10 \times 467}{2 \times 10}

Simplify the expression

y = \frac{- 135 \pm 13 5 ^{2} - 4 \times 10 \times 467}{20}

Simplify the expression

More Steps

y = \frac{- 135 \pm - 455}{20}

Simplify the radical expression

More Steps

y = \frac{- 135 \pm 455 \times i}{20}

Separate the equation into 2 possible cases

y = \frac{- 135 + 455 \times i}{20} y = \frac{- 135 - 455 \times i}{20}

Simplify the expression

More Steps

y = - \frac{27}{4} + \frac{455}{20} i y = \frac{- 135 - 455 \times i}{20}

Simplify the expression

More Steps

y = - \frac{27}{4} + \frac{455}{20} i y = - \frac{27}{4} - \frac{455}{20} i

Solution

y_{1} = - \frac{27}{4} - \frac{455}{20} i, y_{2} = - \frac{27}{4} + \frac{455}{20} i

Alternative Form

y_{1} \approx - 6.75 - 1.066536 i, y_{2} \approx - 6.75 + 1.066536 i

Factor the expression