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Quadratics
· Examples✏️ Worked Examples — Step by Step
E1
EasyRoots of x² − 9 = 0:
💡 x² = 9.
👁 Show Solution
x² = 9 → x = ±3. ✅ Answer: x = 3, x = −3
✅±3
E2
MediumDiscriminant of 2x² + 3x − 5:
💡 b² − 4ac.
👁 Show Solution
D = 9 − 4(2)(−5) = 9 + 40 = 49 (so 2 real roots). ✅ Answer: 49
✅49
E3
ChallengingSum of roots of 4x² − 12x + 9 = 0:
💡 −b/a.
👁 Show Solution
−b/a = 12/4 = 3. (Roots are 3/2, 3/2 — repeated.) ✅ Answer: 3
✅3