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

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

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

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

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x^{2} - 27 = 6 x

x = 9, x = - 3

Solution steps

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

16 x = 6 x + 100

x^{3} + 3 x^{2} - 25 x - 75

\frac{1}{2} (4)

\frac{\frac{3}{9}}{2}

2 x + 3 = 4

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