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(x+1)^2+(x-6)^2=2x^2

(x+1)^2+(x-6)^2=2x^2 equation

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Numerical solution:

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The solution

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       2          2      2
(x + 1)  + (x - 6)  = 2*x 
$$\left(x - 6\right)^{2} + \left(x + 1\right)^{2} = 2 x^{2}$$
Detail solution
Given the equation:
(x+1)^2+(x-6)^2 = 2*x^2

Expand expressions:
1 + x^2 + 2*x + (x - 6)^2 = 2*x^2

1 + x^2 + 2*x + 36 + x^2 - 12*x = 2*x^2

Reducing, you get:
37 - 10*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 10 x = -37$$
Divide both parts of the equation by -10
x = -37 / (-10)

We get the answer: x = 37/10
The graph
Rapid solution [src]
     37
x1 = --
     10
$$x_{1} = \frac{37}{10}$$
x1 = 37/10
Sum and product of roots [src]
sum
37
--
10
$$\frac{37}{10}$$
=
37
--
10
$$\frac{37}{10}$$
product
37
--
10
$$\frac{37}{10}$$
=
37
--
10
$$\frac{37}{10}$$
37/10
Numerical answer [src]
x1 = 3.7
x1 = 3.7
The graph
(x+1)^2+(x-6)^2=2x^2 equation