(x-5)^2=(x-8)^2 equation
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The solution
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
Sum and product of roots
[src]
$$\frac{13}{2}$$
$$\frac{13}{2}$$
$$\frac{13}{2}$$
$$\frac{13}{2}$$