What are the solutions to the equation x(x-9)=22 ?

The solutions to the equation x(x-9)=22 are x=11,x=-2

Find the zeros of x(x-9)=22

The zeros of x(x-9)=22 are x=11,x=-2

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x (x - 9) = 22

x = 11, x = - 2

Solution steps

x (x - 9) = 22

Expand

x (x - 9) : x^{2} - 9 x

x^{2} - 9 x = 22

Move

22

to the left side

x^{2} - 9 x - 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot ( - 22 )}{2 \cdot 1}

(- 9)^{2} - 4 \cdot 1 \cdot (- 22) = 13

x_{1, 2} = \frac{- ( - 9 ) \pm 13}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 13}{2 \cdot 1}, x_{2} = \frac{- ( - 9 ) - 13}{2 \cdot 1}

x = \frac{- ( - 9 ) + 13}{2 \cdot 1} : 11

x = \frac{- ( - 9 ) - 13}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 11, x = - 2

7 x - 12 = x^{2}

6 x^{2} + 2 - 7 x = 0

576 x^{2} - 612 x + 36 = 0

8 p^{2} + p = 9

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

What are the solutions to the equation x(x-9)=22 ?
The solutions to the equation x(x-9)=22 are x=11,x=-2
Find the zeros of x(x-9)=22
The zeros of x(x-9)=22 are x=11,x=-2