What are the solutions to the equation 6x=x^2-27 ?

The solutions to the equation 6x=x^2-27 are x=9,x=-3

Find the zeros of 6x=x^2-27

The zeros of 6x=x^2-27 are x=9,x=-3

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6 x = x^{2} - 27

x = 9, x = - 3

Solution steps

6 x = x^{2} - 27

Switch sides

x^{2} - 27 = 6 x

Move

6 x

to the left side

x^{2} - 27 - 6 x = 0

Write in the standard form

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

x^{2} - 6 x - 27 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 27 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 27) = 12

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

Separate the solutions

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

x = \frac{- ( - 6 ) + 12}{2 \cdot 1} : 9

x = \frac{- ( - 6 ) - 12}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

x = 9, x = - 3

3 x^{2} - 12 x + 27 = 0

a^{2} - 7 a

4 x^{2} - 8 x = 52

9 x^{2} + 8 x - 5 = 3 x^{2}

y, x^{3} y^{2} - 6 x^{2} = 3 y^{2} - 9 x

What are the solutions to the equation 6x=x^2-27 ?
The solutions to the equation 6x=x^2-27 are x=9,x=-3
Find the zeros of 6x=x^2-27
The zeros of 6x=x^2-27 are x=9,x=-3