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Solving inequalities/ x^2-2x+2

x^2-2x+2 inequation

A inequation with variable

The solution

You have entered [src] 
 2              
x  - 2*x + 2 > 0
(x2−2x)+2>0\left(x^{2} - 2 x\right) + 2 > 0 
x^2 - 2*x + 2 > 0
Detail solution
Given the inequality:
(x2−2x)+2>0\left(x^{2} - 2 x\right) + 2 > 0
To solve this inequality, we must first solve the corresponding equation:
(x2−2x)+2=0\left(x^{2} - 2 x\right) + 2 = 0
Solve:
y1=1−1iy_{1} = 1 - 1 i
y2=1+1iy_{2} = 1 + 1 i
Exclude the complex solutions:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0

(x2−2x)+2>0\left(x^{2} - 2 x\right) + 2 > 0
     2          
2 + x  - 2*x > 0

so the inequality has no solutions
Rapid solution [src] 
And(-oo < x, x < oo)
−∞<x∧x<∞-\infty < x \wedge x < \infty 
(-oo < x)∧(x < oo)
Rapid solution 2 [src] 
(-oo, oo)
y in (−∞,∞)y\ in\ \left(-\infty, \infty\right) 
y in Interval(-oo, oo)
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