Solve 15x^2 + 2x + 9

Question

Find the roots

x_{1} = - \frac{1}{15} - \frac{134}{15} i, x_{2} = - \frac{1}{15} + \frac{134}{15} i

Alternative Form

x_{1} \approx - 0.0 \dot{6} - 0.771722 i, x_{2} \approx - 0.0 \dot{6} + 0.771722 i

Evaluate

15 x^{2} + 2 x + 9

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

15 x^{2} + 2 x + 9 = 0

Substitute a= 15,b= 2 and c= 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 2 \pm 2 ^{2} - 4 \times 15 \times 9}{2 \times 15}

Simplify the expression

x = \frac{- 2 \pm 2 ^{2} - 4 \times 15 \times 9}{30}

Simplify the expression

More Steps

x = \frac{- 2 \pm - 536}{30}

Simplify the radical expression

More Steps

x = \frac{- 2 \pm 2 134 \times i}{30}

Separate the equation into 2 possible cases

x = \frac{- 2 + 2 134 \times i}{30} x = \frac{- 2 - 2 134 \times i}{30}

Simplify the expression

More Steps

x = - \frac{1}{15} + \frac{134}{15} i x = \frac{- 2 - 2 134 \times i}{30}

Simplify the expression

More Steps

x = - \frac{1}{15} + \frac{134}{15} i x = - \frac{1}{15} - \frac{134}{15} i

Solution

x_{1} = - \frac{1}{15} - \frac{134}{15} i, x_{2} = - \frac{1}{15} + \frac{134}{15} i

Alternative Form

x_{1} \approx - 0.0 \dot{6} - 0.771722 i, x_{2} \approx - 0.0 \dot{6} + 0.771722 i

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