What are the solutions to the equation 2-x^2=10-6x ?

The solutions to the equation 2-x^2=10-6x are x=2,x=4

Find the zeros of 2-x^2=10-6x

The zeros of 2-x^2=10-6x are x=2,x=4

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2 - x^{2} = 10 - 6 x

x = 2, x = 4

Solution steps

2 - x^{2} = 10 - 6 x

Move

6 x

to the left side

2 - x^{2} + 6 x = 10

Move

10

to the left side

- x^{2} + 6 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 1 ) ( - 8 )}{2 ( - 1 )}

6^{2} - 4 (- 1) (- 8) = 2

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

Separate the solutions

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

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

x = \frac{- 6 - 2}{2 ( - 1 )} : 4

The solutions to the quadratic equation are:

x = 2, x = 4

x^{2} + 2 x - 8 = - 8

- \frac{7}{8} > - 0.5

6 m^{3} - 12 mn + m^{2} n - 2 n^{2}

- 4 x^{2} + 7 x - 3 = 0

\frac{2}{\frac{2}{3}}

What are the solutions to the equation 2-x^2=10-6x ?
The solutions to the equation 2-x^2=10-6x are x=2,x=4
Find the zeros of 2-x^2=10-6x
The zeros of 2-x^2=10-6x are x=2,x=4