What are the solutions to the equation -3x^2-9x+357=9x ?

The solutions to the equation -3x^2-9x+357=9x are x=-3-8sqrt(2),x=8sqrt(2)-3

Find the zeros of -3x^2-9x+357=9x

The zeros of -3x^2-9x+357=9x are x=-3-8sqrt(2),x=8sqrt(2)-3

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- 3 x^{2} - 9 x + 357 = 9 x

x = - 3 - 82, x = 82 - 3

Decimal Notation

x = - 14.31370 \dots, x = 8.31370 \dots

Solution steps

- 3 x^{2} - 9 x + 357 = 9 x

Move

9 x

to the left side

- 3 x^{2} - 18 x + 357 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 ( - 3 ) \cdot 357}{2 ( - 3 )}

(- 18)^{2} - 4 (- 3) \cdot 357 = 482

x_{1, 2} = \frac{- ( - 18 ) \pm 48 2}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 48 2}{2 ( - 3 )}, x_{2} = \frac{- ( - 18 ) - 48 2}{2 ( - 3 )}

x = \frac{- ( - 18 ) + 48 2}{2 ( - 3 )} : - 3 - 82

x = \frac{- ( - 18 ) - 48 2}{2 ( - 3 )} : 82 - 3

The solutions to the quadratic equation are:

x = - 3 - 82, x = 82 - 3

x, z = 9 - 2 x^{2} - 2 y^{2}

y^{2} + 4 y - 2 = 0

(x - 4)^{(2)} = 169

x, x^{2} - 4 x - 25 = 0

2 x^{2} - 6 x + \frac{2}{9} = 0

What are the solutions to the equation -3x^2-9x+357=9x ?
The solutions to the equation -3x^2-9x+357=9x are x=-3-8sqrt(2),x=8sqrt(2)-3
Find the zeros of -3x^2-9x+357=9x
The zeros of -3x^2-9x+357=9x are x=-3-8sqrt(2),x=8sqrt(2)-3