What are the solutions to the equation -3x^2-3x-12=0 ?

The solutions to the equation -3x^2-3x-12=0 are x=-1/2-i(sqrt(15))/2 ,x=-1/2+i(sqrt(15))/2

Find the zeros of -3x^2-3x-12=0

The zeros of -3x^2-3x-12=0 are x=-1/2-i(sqrt(15))/2 ,x=-1/2+i(sqrt(15))/2

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- 3 x^{2} - 3 x - 12 = 0

x = - \frac{1}{2} - i \frac{15}{2}, x = - \frac{1}{2} + i \frac{15}{2}

Solution steps

- 3 x^{2} - 3 x - 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 3 ) ( - 12 )}{2 ( - 3 )}

Simplify

(- 3)^{2} - 4 (- 3) (- 12) : 315 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - \frac{1}{2} - i \frac{15}{2}, x = - \frac{1}{2} + i \frac{15}{2}

x^{3} + 9 x^{2} + 27 x + 27

\frac{x ^{2} - 2 x y + y ^{2}}{x - y}

\frac{x}{5} - \frac{x}{2} = 3

1 5^{2}

25 + \frac{11}{12} b = 47

What are the solutions to the equation -3x^2-3x-12=0 ?
The solutions to the equation -3x^2-3x-12=0 are x=-1/2-i(sqrt(15))/2 ,x=-1/2+i(sqrt(15))/2
Find the zeros of -3x^2-3x-12=0
The zeros of -3x^2-3x-12=0 are x=-1/2-i(sqrt(15))/2 ,x=-1/2+i(sqrt(15))/2