(x-2)^2=(x-9)^2 equation
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The solution
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
Sum and product of roots
[src]
$$\frac{11}{2}$$
$$\frac{11}{2}$$
$$\frac{11}{2}$$
$$\frac{11}{2}$$