What are the solutions to the equation x=-6x^2+384 ?

The solutions to the equation x=-6x^2+384 are x=-(1+sqrt(9217))/(12),x=(sqrt(9217)-1)/(12)

Find the zeros of x=-6x^2+384

The zeros of x=-6x^2+384 are x=-(1+sqrt(9217))/(12),x=(sqrt(9217)-1)/(12)

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x = - 6 x^{2} + 384

x = - \frac{1 + 9217}{12}, x = \frac{9217 - 1}{12}

Solution steps

x = - 6 x^{2} + 384

Switch sides

- 6 x^{2} + 384 = x

Move

x

to the left side

- 6 x^{2} + 384 - x = 0

Write in the standard form

a x^{2} + b x + c = 0

- 6 x^{2} - x + 384 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 6 ) \cdot 384}{2 ( - 6 )}

(- 1)^{2} - 4 (- 6) \cdot 384 = 9217

x_{1, 2} = \frac{- ( - 1 ) \pm 9217}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 9217}{2 ( - 6 )}, x_{2} = \frac{- ( - 1 ) - 9217}{2 ( - 6 )}

x = \frac{- ( - 1 ) + 9217}{2 ( - 6 )} : - \frac{1 + 9217}{12}

x = \frac{- ( - 1 ) - 9217}{2 ( - 6 )} : \frac{9217 - 1}{12}

The solutions to the quadratic equation are:

x = - \frac{1 + 9217}{12}, x = \frac{9217 - 1}{12}

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What are the solutions to the equation x=-6x^2+384 ?
The solutions to the equation x=-6x^2+384 are x=-(1+sqrt(9217))/(12),x=(sqrt(9217)-1)/(12)
Find the zeros of x=-6x^2+384
The zeros of x=-6x^2+384 are x=-(1+sqrt(9217))/(12),x=(sqrt(9217)-1)/(12)