What are the solutions to the equation x^2-8x-27=-x-9 ?

The solutions to the equation x^2-8x-27=-x-9 are x=9,x=-2

Find the zeros of x^2-8x-27=-x-9

The zeros of x^2-8x-27=-x-9 are x=9,x=-2

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x^{2} - 8 x - 27 = - x - 9

x = 9, x = - 2

Solution steps

x^{2} - 8 x - 27 = - x - 9

Move

9

to the left side

x^{2} - 8 x - 18 = - x

Move

x

to the left side

x^{2} - 7 x - 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 18 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 18) = 11

x_{1, 2} = \frac{- ( - 7 ) \pm 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 11}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 11}{2 \cdot 1}

x = \frac{- ( - 7 ) + 11}{2 \cdot 1} : 9

x = \frac{- ( - 7 ) - 11}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 9, x = - 2

97 = - 3 (6 n - 5) - 8

w^{2} - 12 w + 36

\frac{2 π}{0.25}

\frac{x - 3}{x + 2} > 0

6 x - 24

What are the solutions to the equation x^2-8x-27=-x-9 ?
The solutions to the equation x^2-8x-27=-x-9 are x=9,x=-2
Find the zeros of x^2-8x-27=-x-9
The zeros of x^2-8x-27=-x-9 are x=9,x=-2