What are the solutions to the equation x(x-6)=-9 ?

The solutions to the equation x(x-6)=-9 are x=3

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x(x-6)=-9

x (x - 6) = - 9

x = 3

Solution steps

x (x - 6) = - 9

Expand

x (x - 6) : x^{2} - 6 x

x^{2} - 6 x = - 9

Move

9

to the left side

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} + 10 x - 9 = 0

x^{2} = 92

x^{2} = 73

x, x^{2} + 8 x + 5 = 0

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

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