Location: f(k)f(l) sign change (For continuous quadratic with two real roots, f(k)f(l)<0 ⇔ one root lies)
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For continuous quadratic with two real roots, f(k)f(l)<0 ⇔ one root lies strictly between k and l (when f(k),f(l) nonzero).
What each symbol means
| Symbol | What it stands for |
|---|---|
| f | Quadratic |
| k,l | Real test points |
When to use this
Two distinct real roots; f(k),f(l) ≠ 0 typically.