(x+2)^2+(x-3)^2=2x^2 equation
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The solution
Detail solution
Given the equation:
(x+2)^2+(x-3)^2 = 2*x^2
Expand expressions:
4 + x^2 + 4*x + (x - 3)^2 = 2*x^2
4 + x^2 + 4*x + 9 + x^2 - 6*x = 2*x^2
Reducing, you get:
13 - 2*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 2 x = -13$$
Divide both parts of the equation by -2
x = -13 / (-2)
We get the answer: x = 13/2
Sum and product of roots
[src]
$$\frac{13}{2}$$
$$\frac{13}{2}$$
$$\frac{13}{2}$$
$$\frac{13}{2}$$