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

Switch sides

x^{2} + 9 = 6 x

Move

6 x

to the left side

x^{2} + 9 - 6 x = 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 \cdot 1 \cdot 9}{2 \cdot 1}

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

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

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

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

x = 3

The solution to the quadratic equation is:

x = 3

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

x^{2} + 34 x = 0

(1 - x) (- 3 - x) + 5 = 0

x, 9 x^{2} - 4 y^{2} + 18 x - 16 y = 7

4 x^{2} + 34 x - 25 = 0

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