What are the solutions to the equation x^2+5x+20=0 ?

The solutions to the equation x^2+5x+20=0 are x=-5/2+i(sqrt(55))/2 ,x=-5/2-i(sqrt(55))/2

Find the zeros of x^2+5x+20=0

The zeros of x^2+5x+20=0 are x=-5/2+i(sqrt(55))/2 ,x=-5/2-i(sqrt(55))/2

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x^{2} + 5 x + 20 = 0

x = - \frac{5}{2} + i \frac{55}{2}, x = - \frac{5}{2} - i \frac{55}{2}

Solution steps

x^{2} + 5 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

Simplify

5^{2} - 4 \cdot 1 \cdot 20 : 55 i

x_{1, 2} = \frac{- 5 \pm 55 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 55 i}{2 \cdot 1}, x_{2} = \frac{- 5 - 55 i}{2 \cdot 1}

x = \frac{- 5 + 55 i}{2 \cdot 1} : - \frac{5}{2} + i \frac{55}{2}

x = \frac{- 5 - 55 i}{2 \cdot 1} : - \frac{5}{2} - i \frac{55}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{2} + i \frac{55}{2}, x = - \frac{5}{2} - i \frac{55}{2}

(z + 7)^{2} = - 9

s^{2} + 4 s + 6 = 0

4 x^{2} - x + 7 = 0

5 k^{2} + 19 k + 11 = 2 k

3 (3 x - 4)^{2} - 15 = 30

What are the solutions to the equation x^2+5x+20=0 ?
The solutions to the equation x^2+5x+20=0 are x=-5/2+i(sqrt(55))/2 ,x=-5/2-i(sqrt(55))/2
Find the zeros of x^2+5x+20=0
The zeros of x^2+5x+20=0 are x=-5/2+i(sqrt(55))/2 ,x=-5/2-i(sqrt(55))/2