What are the solutions to the equation 4x^2+5x+8=0 ?

The solutions to the equation 4x^2+5x+8=0 are x=-5/8+i(sqrt(103))/8 ,x=-5/8-i(sqrt(103))/8

Find the zeros of 4x^2+5x+8=0

The zeros of 4x^2+5x+8=0 are x=-5/8+i(sqrt(103))/8 ,x=-5/8-i(sqrt(103))/8

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4 x^{2} + 5 x + 8 = 0

x = - \frac{5}{8} + i \frac{103}{8}, x = - \frac{5}{8} - i \frac{103}{8}

Solution steps

4 x^{2} + 5 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 \cdot 8}{2 \cdot 4}

Simplify

5^{2} - 4 \cdot 4 \cdot 8 : 103 i

x_{1, 2} = \frac{- 5 \pm 103 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 5 + 103 i}{2 \cdot 4}, x_{2} = \frac{- 5 - 103 i}{2 \cdot 4}

x = \frac{- 5 + 103 i}{2 \cdot 4} : - \frac{5}{8} + i \frac{103}{8}

x = \frac{- 5 - 103 i}{2 \cdot 4} : - \frac{5}{8} - i \frac{103}{8}

The solutions to the quadratic equation are:

x = - \frac{5}{8} + i \frac{103}{8}, x = - \frac{5}{8} - i \frac{103}{8}

5 x \leq - 3 x + 8

u^{2} - 16

x^{2} + 4 x - 15 = 0

\frac{- 6}{- 6}

- 30 + \frac{x}{4} > - 18

What are the solutions to the equation 4x^2+5x+8=0 ?
The solutions to the equation 4x^2+5x+8=0 are x=-5/8+i(sqrt(103))/8 ,x=-5/8-i(sqrt(103))/8
Find the zeros of 4x^2+5x+8=0
The zeros of 4x^2+5x+8=0 are x=-5/8+i(sqrt(103))/8 ,x=-5/8-i(sqrt(103))/8