What are the solutions to the equation x^2+5x+30=0 ?

The solutions to the equation x^2+5x+30=0 are x=-5/2+i(sqrt(95))/2 ,x=-5/2-i(sqrt(95))/2

Find the zeros of x^2+5x+30=0

The zeros of x^2+5x+30=0 are x=-5/2+i(sqrt(95))/2 ,x=-5/2-i(sqrt(95))/2

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x^{2} + 5 x + 30 = 0

x = - \frac{5}{2} + i \frac{95}{2}, x = - \frac{5}{2} - i \frac{95}{2}

Solution steps

x^{2} + 5 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

Simplify

5^{2} - 4 \cdot 1 \cdot 30 : 95 i

x_{1, 2} = \frac{- 5 \pm 95 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 95 i}{2 \cdot 1}, x_{2} = \frac{- 5 - 95 i}{2 \cdot 1}

x = \frac{- 5 + 95 i}{2 \cdot 1} : - \frac{5}{2} + i \frac{95}{2}

x = \frac{- 5 - 95 i}{2 \cdot 1} : - \frac{5}{2} - i \frac{95}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{2} + i \frac{95}{2}, x = - \frac{5}{2} - i \frac{95}{2}

n^{2} + n

y^{2} = 5 y - 4

s^{2} + 4 s + 12

x^{2} - \frac{25}{4} = 0

x, 2 x^{2} - 3 x - 15 = 0

What are the solutions to the equation x^2+5x+30=0 ?
The solutions to the equation x^2+5x+30=0 are x=-5/2+i(sqrt(95))/2 ,x=-5/2-i(sqrt(95))/2
Find the zeros of x^2+5x+30=0
The zeros of x^2+5x+30=0 are x=-5/2+i(sqrt(95))/2 ,x=-5/2-i(sqrt(95))/2