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(x-6)^2-x*(x+8)=2

(x-6)^2-x*(x+8)=2 equation

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Numerical solution:

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The solution

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       2                
(x - 6)  - x*(x + 8) = 2
$$- x \left(x + 8\right) + \left(x - 6\right)^{2} = 2$$
Detail solution
Given the equation:
(x-6)^2-x*(x+8) = 2

Expand expressions:
36 + x^2 - 12*x - x*(x + 8) = 2

36 + x^2 - 12*x - x^2 - 8*x = 2

Reducing, you get:
34 - 20*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 20 x = -34$$
Divide both parts of the equation by -20
x = -34 / (-20)

We get the answer: x = 17/10
The graph
Rapid solution [src]
     17
x1 = --
     10
$$x_{1} = \frac{17}{10}$$
Sum and product of roots [src]
sum
    17
0 + --
    10
$$0 + \frac{17}{10}$$
=
17
--
10
$$\frac{17}{10}$$
product
  17
1*--
  10
$$1 \cdot \frac{17}{10}$$
=
17
--
10
$$\frac{17}{10}$$
17/10
Numerical answer [src]
x1 = 1.7
x1 = 1.7
The graph
(x-6)^2-x*(x+8)=2 equation