What are the solutions to the equation x-36=x^2-11x ?

The solutions to the equation x-36=x^2-11x are x=6

Find the zeros of x-36=x^2-11x

The zeros of x-36=x^2-11x are x=6

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x - 36 = x^{2} - 11 x

x = 6

Solution steps

x - 36 = x^{2} - 11 x

Switch sides

x^{2} - 11 x = x - 36

Move

36

to the left side

x^{2} - 11 x + 36 = x

Move

x

to the left side

x^{2} - 12 x + 36 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 36}{2 \cdot 1}

(- 12)^{2} - 4 \cdot 1 \cdot 36 = 0

x_{1, 2} = \frac{- ( - 12 ) \pm 0}{2 \cdot 1}

x = \frac{- ( - 12 )}{2 \cdot 1}

\frac{- ( - 12 )}{2 \cdot 1} = 6

x = 6

The solution to the quadratic equation is:

x = 6

3 x^{2} + 1 = 5

x^{2} + 5 = 30

3 x^{2} + 2 x - 21 = 0

2 (x + 3)^{2} = 8

x (x + 6) = 16

What are the solutions to the equation x-36=x^2-11x ?
The solutions to the equation x-36=x^2-11x are x=6
Find the zeros of x-36=x^2-11x
The zeros of x-36=x^2-11x are x=6