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

The solutions to the equation 6x=x^2 are x=6,x=0

Find the zeros of 6x=x^2

The zeros of 6x=x^2 are x=6,x=0

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6 x = x^{2}

x = 6, x = 0

Solution steps

6 x = x^{2}

Switch sides

x^{2} = 6 x

Move

6 x

to the left side

x^{2} - 6 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

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

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

Separate the solutions

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

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

x = \frac{- ( - 6 ) - 6}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

x = 6, x = 0

\frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{4 ^{\frac{2}{3}}}

\frac{π}{\frac{2}{4}}

\frac{( 27 ) ^{- \frac{2}{3}}}{( 16 ) ^{\frac{1}{4}}}

15 x < - 1 or 2 x > 0

6 z - 4 \leq 3 z + 2

What are the solutions to the equation 6x=x^2 ?
The solutions to the equation 6x=x^2 are x=6,x=0
Find the zeros of 6x=x^2
The zeros of 6x=x^2 are x=6,x=0