What are the solutions to the equation x^2+3x+30=0 ?

The solutions to the equation x^2+3x+30=0 are x=-3/2+i(sqrt(111))/2 ,x=-3/2-i(sqrt(111))/2

Find the zeros of x^2+3x+30=0

The zeros of x^2+3x+30=0 are x=-3/2+i(sqrt(111))/2 ,x=-3/2-i(sqrt(111))/2

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x^{2} + 3 x + 30 = 0

x = - \frac{3}{2} + i \frac{111}{2}, x = - \frac{3}{2} - i \frac{111}{2}

Solution steps

x^{2} + 3 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 30 : 111 i

x_{1, 2} = \frac{- 3 \pm 111 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 111 i}{2 \cdot 1}, x_{2} = \frac{- 3 - 111 i}{2 \cdot 1}

x = \frac{- 3 + 111 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{111}{2}

x = \frac{- 3 - 111 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{111}{2}

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{111}{2}, x = - \frac{3}{2} - i \frac{111}{2}

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What are the solutions to the equation x^2+3x+30=0 ?
The solutions to the equation x^2+3x+30=0 are x=-3/2+i(sqrt(111))/2 ,x=-3/2-i(sqrt(111))/2
Find the zeros of x^2+3x+30=0
The zeros of x^2+3x+30=0 are x=-3/2+i(sqrt(111))/2 ,x=-3/2-i(sqrt(111))/2