What are the solutions to the equation 6x-x^2=9 ?

The solutions to the equation 6x-x^2=9 are x=3

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6x-x^2=9

6 x - x^{2} = 9

x = 3

Solution steps

6 x - x^{2} = 9

Move

9

to the left side

6 x - x^{2} - 9 = 0

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 1 ) ( - 9 )}{2 ( - 1 )}

6^{2} - 4 (- 1) (- 9) = 0

x_{1, 2} = \frac{- 6 \pm 0}{2 ( - 1 )}

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

\frac{- 6}{2 ( - 1 )} = 3

x = 3

The solution to the quadratic equation is:

x = 3

x, y = x^{2} y

3 x^{2} - 10 x + 4 = 2

x^{2} + (x + 1)^{2} = 313

x^{2} + 14 x - 14 = 0

4 (x + 2)^{2} + 6 = 70

What are the solutions to the equation 6x-x^2=9 ?
The solutions to the equation 6x-x^2=9 are x=3
Find the zeros of 6x-x^2=9
The zeros of 6x-x^2=9 are x=3