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(x-2)^2=(x-9)^2

(x-2)^2=(x-9)^2 equation

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Numerical solution:

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The solution

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       2          2
(x - 2)  = (x - 9) 
$$\left(x - 2\right)^{2} = \left(x - 9\right)^{2}$$
Detail solution
Given the equation:
(x-2)^2 = (x-9)^2

Expand expressions:
4 + x^2 - 4*x = (x-9)^2

(x-2)^2 = 81 + x^2 - 18*x

Reducing, you get:
-77 + 14*x = 0

Move free summands (without x)
from left part to right part, we given:
$$14 x = 77$$
Divide both parts of the equation by 14
x = 77 / (14)

We get the answer: x = 11/2
The graph
Sum and product of roots [src]
sum
11/2
$$\frac{11}{2}$$
=
11/2
$$\frac{11}{2}$$
product
11/2
$$\frac{11}{2}$$
=
11/2
$$\frac{11}{2}$$
11/2
Rapid solution [src]
x1 = 11/2
$$x_{1} = \frac{11}{2}$$
x1 = 11/2
Numerical answer [src]
x1 = 5.5
x1 = 5.5
The graph
(x-2)^2=(x-9)^2 equation