What are the solutions to the equation -6x^2+36x-84=0 ?

The solutions to the equation -6x^2+36x-84=0 are x=3-sqrt(5)i,x=3+sqrt(5)i

Find the zeros of -6x^2+36x-84=0

The zeros of -6x^2+36x-84=0 are x=3-sqrt(5)i,x=3+sqrt(5)i

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- 6 x^{2} + 36 x - 84 = 0

x = 3 - 5 i, x = 3 + 5 i

Solution steps

- 6 x^{2} + 36 x - 84 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 ( - 6 ) ( - 84 )}{2 ( - 6 )}

Simplify

3 6^{2} - 4 (- 6) (- 84) : 125 i

x_{1, 2} = \frac{- 36 \pm 12 5 i}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 36 + 12 5 i}{2 ( - 6 )}, x_{2} = \frac{- 36 - 12 5 i}{2 ( - 6 )}

x = \frac{- 36 + 12 5 i}{2 ( - 6 )} : 3 - 5 i

x = \frac{- 36 - 12 5 i}{2 ( - 6 )} : 3 + 5 i

The solutions to the quadratic equation are:

x = 3 - 5 i, x = 3 + 5 i

x, f (x + 2) = 4 x^{2} + 5

9 x^{2} + 9 x - 1 = 0

\frac{2}{3} x^{2} - x = \frac{1}{3}

x^{2} + (k - 2) x - 2 k = 0

(2 x + 5) (x + 4) = 0

What are the solutions to the equation -6x^2+36x-84=0 ?
The solutions to the equation -6x^2+36x-84=0 are x=3-sqrt(5)i,x=3+sqrt(5)i
Find the zeros of -6x^2+36x-84=0
The zeros of -6x^2+36x-84=0 are x=3-sqrt(5)i,x=3+sqrt(5)i