What are the solutions to the equation 3x^2+9x+18=0 ?

The solutions to the equation 3x^2+9x+18=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2

Find the zeros of 3x^2+9x+18=0

The zeros of 3x^2+9x+18=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2

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3 x^{2} + 9 x + 18 = 0

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

Solution steps

3 x^{2} + 9 x + 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 3 \cdot 18}{2 \cdot 3}

Simplify

9^{2} - 4 \cdot 3 \cdot 18 : 315 i

x_{1, 2} = \frac{- 9 \pm 3 15 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 9 + 3 15 i}{2 \cdot 3}, x_{2} = \frac{- 9 - 3 15 i}{2 \cdot 3}

x = \frac{- 9 + 3 15 i}{2 \cdot 3} : - \frac{3}{2} + i \frac{15}{2}

x = \frac{- 9 - 3 15 i}{2 \cdot 3} : - \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}

4 (1 - 4 k) = 52

2 (x - 4) = 6 x + 8

x - 6 > 21 - 8 x

3 y^{2} - 4 y - 20

\frac{3}{2} x^{2} + 11 = 71

What are the solutions to the equation 3x^2+9x+18=0 ?
The solutions to the equation 3x^2+9x+18=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2
Find the zeros of 3x^2+9x+18=0
The zeros of 3x^2+9x+18=0 are x=-3/2+i(sqrt(15))/2 ,x=-3/2-i(sqrt(15))/2