In square inequality we have two options:
1. Given the square inequality:
And the roots of the quadratic equation are
In this case, we find the inequality solution with Delta’s calculation:
Now, there are 3 options:
1.1. When
The solution of the inequality is
1.2. When
The solution is
1.3. When
The solution of the inequality is all x.
2. Given the square inequality:
And the roots of the quadratic equation are
Here, too, we find the solution of inequality with Delta’s calculation:
Again, there are 3 options:
1.1. When
The solution of the inequality is
1.2. When
There is no real solution to the equation.
1.3. when
There is no real solution to the equation.
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