What are the solutions to the equation x^2-6x+20=6x ?

The solutions to the equation x^2-6x+20=6x are x=10,x=2

Find the zeros of x^2-6x+20=6x

The zeros of x^2-6x+20=6x are x=10,x=2

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x^{2} - 6 x + 20 = 6 x

x = 10, x = 2

Solution steps

x^{2} - 6 x + 20 = 6 x

Move

6 x

to the left side

x^{2} - 12 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

(- 12)^{2} - 4 \cdot 1 \cdot 20 = 8

x_{1, 2} = \frac{- ( - 12 ) \pm 8}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 8}{2 \cdot 1}, x_{2} = \frac{- ( - 12 ) - 8}{2 \cdot 1}

x = \frac{- ( - 12 ) + 8}{2 \cdot 1} : 10

x = \frac{- ( - 12 ) - 8}{2 \cdot 1} : 2

The solutions to the quadratic equation are:

x = 10, x = 2

9 u^{2} - 64

8 x - 3 x + 3 < 2 (x + 6)

x + \frac{7}{10} = - \frac{1}{5}

\frac{2 n + 3}{4} = \frac{5 n - 1}{6}

67 = 0.033 (x - 46)^{2} + 5

What are the solutions to the equation x^2-6x+20=6x ?
The solutions to the equation x^2-6x+20=6x are x=10,x=2
Find the zeros of x^2-6x+20=6x
The zeros of x^2-6x+20=6x are x=10,x=2