Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 4,5x-4<4,6x+3
- log(x)/log(3)<11-x
- (2x+3)(2-x)>3
- (3x-5)^0,5<5
- Canonical form:
- x^2-2x+2
- Graphing y =:
- x^2-2x+2
- Integral of d{x}:
-
x^2-2x+2
-
Identical expressions
- x^ two - two x+2
- x squared minus 2x plus 2
- x to the power of two minus two x plus 2
- x2-2x+2
- x²-2x+2
- x to the power of 2-2x+2
-
Similar expressions
- x^2+2x+2
- x^2-2x-2
x^2-2x+2 inequation
The solution
Detail solution
Given the inequality:
$$\left(x^{2} - 2 x\right) + 2 > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\left(x^{2} - 2 x\right) + 2 = 0$$
Solve:
$$y_{1} = 1 - 1 i$$
$$y_{2} = 1 + 1 i$$
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
$$\left(x^{2} - 2 x\right) + 2 > 0$$
so the inequality has no solutions
$$\left(x^{2} - 2 x\right) + 2 > 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\left(x^{2} - 2 x\right) + 2 = 0$$
Solve:
$$y_{1} = 1 - 1 i$$
$$y_{2} = 1 + 1 i$$
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
$$\left(x^{2} - 2 x\right) + 2 > 0$$
2
2 + x - 2*x > 0
so the inequality has no solutions