Analyze inequalities of the form ax^2 + bx + c ? 0.
Last updated: June 2026 | By Patchworkr Team
Positive means two real roots, zero means one repeated root, and negative means no real roots.
Upward parabolas use the outside intervals for greater-than inequalities and the inside interval for less-than inequalities.
Solve x^2 - 4 > 0.
1. a = 1, b = 0, c = -4
2. Roots are -2 and 2
3. Positive outside the roots
Final answer: x < -2 or x > 2
Can a be zero?
No. Then the expression is not quadratic.
What if the discriminant is negative?
There are no real roots.
Why use operator buttons?
So you can quickly switch between the four standard inequality forms.
Does the tool show exact intervals?
It gives readable interval-style solution text.
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