What are the solutions to the equation -6x^2-108x-510=0 ?

The solutions to the equation -6x^2-108x-510=0 are x=-9-2i,x=-9+2i

Find the zeros of -6x^2-108x-510=0

The zeros of -6x^2-108x-510=0 are x=-9-2i,x=-9+2i

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- 6 x^{2} - 108 x - 510 = 0

x = - 9 - 2 i, x = - 9 + 2 i

Solution steps

- 6 x^{2} - 108 x - 510 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 108 ) \pm ( - 108 ) ^{2} - 4 ( - 6 ) ( - 510 )}{2 ( - 6 )}

Simplify

(- 108)^{2} - 4 (- 6) (- 510) : 24 i

x_{1, 2} = \frac{- ( - 108 ) \pm 24 i}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- ( - 108 ) + 24 i}{2 ( - 6 )}, x_{2} = \frac{- ( - 108 ) - 24 i}{2 ( - 6 )}

x = \frac{- ( - 108 ) + 24 i}{2 ( - 6 )} : - 9 - 2 i

x = \frac{- ( - 108 ) - 24 i}{2 ( - 6 )} : - 9 + 2 i

The solutions to the quadratic equation are:

x = - 9 - 2 i, x = - 9 + 2 i

x = \frac{12 \cdot 24}{2 ( 6 + 12 ) + 12 \cdot 6}

x^{2} + 5 x - 50

3 x + 1 = 13

4 x^{2} - 8 x + 4

- 2 x^{2} + 2 x = 5

What are the solutions to the equation -6x^2-108x-510=0 ?
The solutions to the equation -6x^2-108x-510=0 are x=-9-2i,x=-9+2i
Find the zeros of -6x^2-108x-510=0
The zeros of -6x^2-108x-510=0 are x=-9-2i,x=-9+2i