What are the solutions to the equation 3x^2+3x+15=0 ?

The solutions to the equation 3x^2+3x+15=0 are x=-1/2+i(sqrt(19))/2 ,x=-1/2-i(sqrt(19))/2

Find the zeros of 3x^2+3x+15=0

The zeros of 3x^2+3x+15=0 are x=-1/2+i(sqrt(19))/2 ,x=-1/2-i(sqrt(19))/2

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3 x^{2} + 3 x + 15 = 0

x = - \frac{1}{2} + i \frac{19}{2}, x = - \frac{1}{2} - i \frac{19}{2}

Solution steps

3 x^{2} + 3 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 3 \cdot 15}{2 \cdot 3}

Simplify

3^{2} - 4 \cdot 3 \cdot 15 : 319 i

x_{1, 2} = \frac{- 3 \pm 3 19 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 3 + 3 19 i}{2 \cdot 3}, x_{2} = \frac{- 3 - 3 19 i}{2 \cdot 3}

x = \frac{- 3 + 3 19 i}{2 \cdot 3} : - \frac{1}{2} + i \frac{19}{2}

x = \frac{- 3 - 3 19 i}{2 \cdot 3} : - \frac{1}{2} - i \frac{19}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{19}{2}, x = - \frac{1}{2} - i \frac{19}{2}

0 = x (x + 5)

x^{2} - 4 x = 32

9^{2} + b^{2} = 1 2^{2}

6 y^{2} + 9 y = 0

12 x^{2} - 58 x - 10 = 0

What are the solutions to the equation 3x^2+3x+15=0 ?
The solutions to the equation 3x^2+3x+15=0 are x=-1/2+i(sqrt(19))/2 ,x=-1/2-i(sqrt(19))/2
Find the zeros of 3x^2+3x+15=0
The zeros of 3x^2+3x+15=0 are x=-1/2+i(sqrt(19))/2 ,x=-1/2-i(sqrt(19))/2