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

The solutions to the equation x^2+5x+8=0 are x=-5/2+i(sqrt(7))/2 ,x=-5/2-i(sqrt(7))/2

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

The zeros of x^2+5x+8=0 are x=-5/2+i(sqrt(7))/2 ,x=-5/2-i(sqrt(7))/2

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

x = - \frac{5}{2} + i \frac{7}{2}, x = - \frac{5}{2} - i \frac{7}{2}

Solution steps

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

Solve with the quadratic formula

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

Simplify

5^{2} - 4 \cdot 1 \cdot 8 : 7 i

x_{1, 2} = \frac{- 5 \pm 7 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 7 i}{2 \cdot 1}, x_{2} = \frac{- 5 - 7 i}{2 \cdot 1}

x = \frac{- 5 + 7 i}{2 \cdot 1} : - \frac{5}{2} + i \frac{7}{2}

x = \frac{- 5 - 7 i}{2 \cdot 1} : - \frac{5}{2} - i \frac{7}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{2} + i \frac{7}{2}, x = - \frac{5}{2} - i \frac{7}{2}

- 4 x < - 12

\frac{v ^{2} - u ^{2}}{u - v}

\frac{5}{5}

\frac{- m p}{mn p}

3 x + 3 = 2 x + 9

What are the solutions to the equation x^2+5x+8=0 ?
The solutions to the equation x^2+5x+8=0 are x=-5/2+i(sqrt(7))/2 ,x=-5/2-i(sqrt(7))/2
Find the zeros of x^2+5x+8=0
The zeros of x^2+5x+8=0 are x=-5/2+i(sqrt(7))/2 ,x=-5/2-i(sqrt(7))/2