What are the solutions to the equation x^2+3x+6=0 ?

The solutions to the equation x^2+3x+6=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2

Find the zeros of x^2+3x+6=0

The zeros of x^2+3x+6=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2

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x^{2} + 3 x + 6 = 0

x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

Solution steps

x^{2} + 3 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 6 : 15 i

x_{1, 2} = \frac{- 3 \pm 15 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 15 i}{2 \cdot 1}, x_{2} = \frac{- 3 - 15 i}{2 \cdot 1}

x = \frac{- 3 + 15 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{15}{2}

x = \frac{- 3 - 15 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{15}{2}

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

\frac{b ^{- 2}}{a b ^{- 3}}

k^{2} + 4 kn - 96 n^{2}

5 x^{2} - 3 x + 1 = 0

3^{2} + x^{2} = (2 x - 3)^{2}

2 + 2 x = - 2

What are the solutions to the equation x^2+3x+6=0 ?
The solutions to the equation x^2+3x+6=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2
Find the zeros of x^2+3x+6=0
The zeros of x^2+3x+6=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2