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

The solutions to the equation 6x-x^2=2x are x=0,x=4

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

The zeros of 6x-x^2=2x are x=0,x=4

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6 x - x^{2} = 2 x

x = 0, x = 4

Solution steps

6 x - x^{2} = 2 x

Move

2 x

to the left side

- x^{2} + 4 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

4^{2} - 4 (- 1) \cdot 0 = 4

x_{1, 2} = \frac{- 4 \pm 4}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 4 + 4}{2 ( - 1 )}, x_{2} = \frac{- 4 - 4}{2 ( - 1 )}

x = \frac{- 4 + 4}{2 ( - 1 )} : 0

x = \frac{- 4 - 4}{2 ( - 1 )} : 4

The solutions to the quadratic equation are:

x = 0, x = 4

4 x^{2} - 24 x + 13

x^{2} - 3 x + 11 = 9

x, x^{2} - y^{2} + 4 x + 6 y - 5 = 0

x, 5 x^{2} + 5 y^{2} - 10 x - 10 y = - 25

[(a - 1) x + 2 a - 1] x + 3 a x = 2 a - 3

What are the solutions to the equation 6x-x^2=2x ?
The solutions to the equation 6x-x^2=2x are x=0,x=4
Find the zeros of 6x-x^2=2x
The zeros of 6x-x^2=2x are x=0,x=4