What are the solutions to the equation 2x^2+x+12=0 ?

The solutions to the equation 2x^2+x+12=0 are x=-1/4+i(sqrt(95))/4 ,x=-1/4-i(sqrt(95))/4

Find the zeros of 2x^2+x+12=0

The zeros of 2x^2+x+12=0 are x=-1/4+i(sqrt(95))/4 ,x=-1/4-i(sqrt(95))/4

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2 x^{2} + x + 12 = 0

x = - \frac{1}{4} + i \frac{95}{4}, x = - \frac{1}{4} - i \frac{95}{4}

Solution steps

2 x^{2} + x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 2 \cdot 12}{2 \cdot 2}

Simplify

1^{2} - 4 \cdot 2 \cdot 12 : 95 i

x_{1, 2} = \frac{- 1 \pm 95 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 1 + 95 i}{2 \cdot 2}, x_{2} = \frac{- 1 - 95 i}{2 \cdot 2}

x = \frac{- 1 + 95 i}{2 \cdot 2} : - \frac{1}{4} + i \frac{95}{4}

x = \frac{- 1 - 95 i}{2 \cdot 2} : - \frac{1}{4} - i \frac{95}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{4} + i \frac{95}{4}, x = - \frac{1}{4} - i \frac{95}{4}

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What are the solutions to the equation 2x^2+x+12=0 ?
The solutions to the equation 2x^2+x+12=0 are x=-1/4+i(sqrt(95))/4 ,x=-1/4-i(sqrt(95))/4
Find the zeros of 2x^2+x+12=0
The zeros of 2x^2+x+12=0 are x=-1/4+i(sqrt(95))/4 ,x=-1/4-i(sqrt(95))/4