(x+1)^2+(x-6)^2=2x^2 equation
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The solution
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
$$x_{1} = \frac{37}{10}$$
Sum and product of roots
[src]
$$\frac{37}{10}$$
$$\frac{37}{10}$$
$$\frac{37}{10}$$
$$\frac{37}{10}$$