What are the solutions to the equation 2x^2+x+4=0 ?

The solutions to the equation 2x^2+x+4=0 are x=-1/4+i(sqrt(31))/4 ,x=-1/4-i(sqrt(31))/4

Find the zeros of 2x^2+x+4=0

The zeros of 2x^2+x+4=0 are x=-1/4+i(sqrt(31))/4 ,x=-1/4-i(sqrt(31))/4

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2 x^{2} + x + 4 = 0

x = - \frac{1}{4} + i \frac{31}{4}, x = - \frac{1}{4} - i \frac{31}{4}

Solution steps

2 x^{2} + x + 4 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 2 \cdot 4 : 31 i

x_{1, 2} = \frac{- 1 \pm 31 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 1 + 31 i}{2 \cdot 2}, x_{2} = \frac{- 1 - 31 i}{2 \cdot 2}

x = \frac{- 1 + 31 i}{2 \cdot 2} : - \frac{1}{4} + i \frac{31}{4}

x = \frac{- 1 - 31 i}{2 \cdot 2} : - \frac{1}{4} - i \frac{31}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{4} + i \frac{31}{4}, x = - \frac{1}{4} - i \frac{31}{4}

3 x^{2} + 20 x + 25 = 0

2 k^{2} - 10 k

\frac{x - 14}{2} \geq \frac{x - 7}{3} + \frac{7}{6}

10 g - 5 g + g - 3 g + g = 20

25 x^{2} - 36

What are the solutions to the equation 2x^2+x+4=0 ?
The solutions to the equation 2x^2+x+4=0 are x=-1/4+i(sqrt(31))/4 ,x=-1/4-i(sqrt(31))/4
Find the zeros of 2x^2+x+4=0
The zeros of 2x^2+x+4=0 are x=-1/4+i(sqrt(31))/4 ,x=-1/4-i(sqrt(31))/4