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(x-5)^2=(x-8)^2

(x-5)^2=(x-8)^2 equation

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Numerical solution:

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The solution

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       2          2
(x - 5)  = (x - 8) 
$$\left(x - 5\right)^{2} = \left(x - 8\right)^{2}$$
Detail solution
Given the equation:
(x-5)^2 = (x-8)^2

Expand expressions:
25 + x^2 - 10*x = (x-8)^2

(x-5)^2 = 64 + x^2 - 16*x

Reducing, you get:
-39 + 6*x = 0

Move free summands (without x)
from left part to right part, we given:
$$6 x = 39$$
Divide both parts of the equation by 6
x = 39 / (6)

We get the answer: x = 13/2
The graph
Sum and product of roots [src]
sum
13/2
$$\frac{13}{2}$$
=
13/2
$$\frac{13}{2}$$
product
13/2
$$\frac{13}{2}$$
=
13/2
$$\frac{13}{2}$$
13/2
Rapid solution [src]
x1 = 13/2
$$x_{1} = \frac{13}{2}$$
x1 = 13/2
Numerical answer [src]
x1 = 6.5
x1 = 6.5
The graph
(x-5)^2=(x-8)^2 equation