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

The solutions to the equation 4x^2+x+4=0 are x=-1/8+i(3sqrt(7))/8 ,x=-1/8-i(3sqrt(7))/8

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

The zeros of 4x^2+x+4=0 are x=-1/8+i(3sqrt(7))/8 ,x=-1/8-i(3sqrt(7))/8

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

x = - \frac{1}{8} + i \frac{3 7}{8}, x = - \frac{1}{8} - i \frac{3 7}{8}

Solution steps

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

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 4 \cdot 4 : 37 i

x_{1, 2} = \frac{- 1 \pm 3 7 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 1 + 3 7 i}{2 \cdot 4}, x_{2} = \frac{- 1 - 3 7 i}{2 \cdot 4}

x = \frac{- 1 + 3 7 i}{2 \cdot 4} : - \frac{1}{8} + i \frac{3 7}{8}

x = \frac{- 1 - 3 7 i}{2 \cdot 4} : - \frac{1}{8} - i \frac{3 7}{8}

The solutions to the quadratic equation are:

x = - \frac{1}{8} + i \frac{3 7}{8}, x = - \frac{1}{8} - i \frac{3 7}{8}

\frac{5}{x} < 3

3 x^{3} + 2 x^{2} + 9 x + 6

6 \cdot 16

216 h^{2} - 150

(4 + 5 i)^{2}

What are the solutions to the equation 4x^2+x+4=0 ?
The solutions to the equation 4x^2+x+4=0 are x=-1/8+i(3sqrt(7))/8 ,x=-1/8-i(3sqrt(7))/8
Find the zeros of 4x^2+x+4=0
The zeros of 4x^2+x+4=0 are x=-1/8+i(3sqrt(7))/8 ,x=-1/8-i(3sqrt(7))/8