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(x+2)^2+(x-3)^2=2x^2

(x+2)^2+(x-3)^2=2x^2 equation

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Numerical solution:

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The solution

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       2          2      2
(x + 2)  + (x - 3)  = 2*x 
$$\left(x - 3\right)^{2} + \left(x + 2\right)^{2} = 2 x^{2}$$
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
The graph
Rapid solution [src]
x1 = 13/2
$$x_{1} = \frac{13}{2}$$
x1 = 13/2
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
Numerical answer [src]
x1 = 6.5
x1 = 6.5
The graph
(x+2)^2+(x-3)^2=2x^2 equation