What are the solutions to the equation -6x^2-24x+564=0 ?

The solutions to the equation -6x^2-24x+564=0 are x=-2-7sqrt(2),x=7sqrt(2)-2

Find the zeros of -6x^2-24x+564=0

The zeros of -6x^2-24x+564=0 are x=-2-7sqrt(2),x=7sqrt(2)-2

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- 6 x^{2} - 24 x + 564 = 0

x = - 2 - 72, x = 72 - 2

Decimal Notation

x = - 11.89949 \dots, x = 7.89949 \dots

Solution steps

- 6 x^{2} - 24 x + 564 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 ( - 6 ) \cdot 564}{2 ( - 6 )}

(- 24)^{2} - 4 (- 6) \cdot 564 = 842

x_{1, 2} = \frac{- ( - 24 ) \pm 84 2}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 84 2}{2 ( - 6 )}, x_{2} = \frac{- ( - 24 ) - 84 2}{2 ( - 6 )}

x = \frac{- ( - 24 ) + 84 2}{2 ( - 6 )} : - 2 - 72

x = \frac{- ( - 24 ) - 84 2}{2 ( - 6 )} : 72 - 2

The solutions to the quadratic equation are:

x = - 2 - 72, x = 72 - 2

(36 - 2 r)^{2} = 36 + 2 r

(x + 5)^{2} = x + 7

8 x^{2} + 3 - 6 x = 5 x^{2}

3 (y - 4)^{2} = 192

- 3 x + 3 = x^{2} - x

What are the solutions to the equation -6x^2-24x+564=0 ?
The solutions to the equation -6x^2-24x+564=0 are x=-2-7sqrt(2),x=7sqrt(2)-2
Find the zeros of -6x^2-24x+564=0
The zeros of -6x^2-24x+564=0 are x=-2-7sqrt(2),x=7sqrt(2)-2