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(x-4)²+(x+9)²=2x²

(x-4)²+(x+9)²=2x² equation

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Numerical solution:

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The solution

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       2          2      2
(x - 4)  + (x + 9)  = 2*x
(x−4)2+(x+9)2=2x2\left(x - 4\right)^{2} + \left(x + 9\right)^{2} = 2 x^{2}
Simplify
Detail solution
Given the equation:
(x-4)^2+(x+9)^2 = 2*x^2

Expand expressions:
16 + x^2 - 8*x + (x + 9)^2 = 2*x^2

16 + x^2 - 8*x + 81 + x^2 + 18*x = 2*x^2

Reducing, you get:
97 + 10*x = 0

Move free summands (without x)
from left part to right part, we given:
10x=−9710 x = -97
Divide both parts of the equation by 10
x = -97 / (10)

We get the answer: x = -97/10
The graph
0-18-16-14-12-10-8-6-4-201000
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
-97 
----
 10
−9710- \frac{97}{10} 
=
-97 
----
 10
−9710- \frac{97}{10} 
product
-97 
----
 10
−9710- \frac{97}{10} 
=
-97 
----
 10
−9710- \frac{97}{10} 
-97/10
Rapid solution [src] 
     -97 
x1 = ----
      10
x1=−9710x_{1} = - \frac{97}{10} 
x1 = -97/10
Numerical answer [src] 
x1 = -9.7
x1 = -9.7
The graph
(x-4)²+(x+9)²=2x² equation
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