What are the solutions to the equation (x+6)^2-(x+6)-6=0 ?

The solutions to the equation (x+6)^2-(x+6)-6=0 are x=-3,x=-8

Find the zeros of (x+6)^2-(x+6)-6=0

The zeros of (x+6)^2-(x+6)-6=0 are x=-3,x=-8

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(x + 6)^{2} - (x + 6) - 6 = 0

x = - 3, x = - 8

Solution steps

(x + 6)^{2} - (x + 6) - 6 = 0

Expand

(x + 6)^{2} - (x + 6) - 6 : x^{2} + 11 x + 24

x^{2} + 11 x + 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 1 \cdot 24}{2 \cdot 1}

1 1^{2} - 4 \cdot 1 \cdot 24 = 5

x_{1, 2} = \frac{- 11 \pm 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 11 + 5}{2 \cdot 1}, x_{2} = \frac{- 11 - 5}{2 \cdot 1}

x = \frac{- 11 + 5}{2 \cdot 1} : - 3

x = \frac{- 11 - 5}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

x = - 3, x = - 8

(x + 7)^{2} = 3

w^{4} + 16 w^{2}

5 x = 40

x - 43 = 119

25 y^{2} - 60 y + 36

What are the solutions to the equation (x+6)^2-(x+6)-6=0 ?
The solutions to the equation (x+6)^2-(x+6)-6=0 are x=-3,x=-8
Find the zeros of (x+6)^2-(x+6)-6=0
The zeros of (x+6)^2-(x+6)-6=0 are x=-3,x=-8