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

The solutions to the equation 9x-3x^2=6 are x=1,x=2

Find the zeros of 9x-3x^2=6

The zeros of 9x-3x^2=6 are x=1,x=2

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9 x - 3 x^{2} = 6

x = 1, x = 2

Solution steps

9 x - 3 x^{2} = 6

Move

6

to the left side

9 x - 3 x^{2} - 6 = 0

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 ( - 3 ) ( - 6 )}{2 ( - 3 )}

9^{2} - 4 (- 3) (- 6) = 3

x_{1, 2} = \frac{- 9 \pm 3}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 9 + 3}{2 ( - 3 )}, x_{2} = \frac{- 9 - 3}{2 ( - 3 )}

x = \frac{- 9 + 3}{2 ( - 3 )} : 1

x = \frac{- 9 - 3}{2 ( - 3 )} : 2

The solutions to the quadratic equation are:

x = 1, x = 2

- 3 x^{2} - 36 x - 104

x, x^{2} y^{3} + 2 x = 6 y - 10

x^{2} + 6 x + 9 = 2 x (x + 7)

4 x^{2} - 16 x - 48

(x - 4)^{2} - 25 = 12

What are the solutions to the equation 9x-3x^2=6 ?
The solutions to the equation 9x-3x^2=6 are x=1,x=2
Find the zeros of 9x-3x^2=6
The zeros of 9x-3x^2=6 are x=1,x=2