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Which of the following is NOT a quadratic equation?

Class 10Quadratic EquationsAlgebra — Quadratics
  • A
  • B
  • C
  • D

Step-by-Step Solution

Expand . The terms cancel, leaving , which is linear. The other three are all quadratic: becomes (it only LOOKS non-standard until you expand), becomes , and is already in standard form with .
Answer: C)

Key idea: Method 3: The quadratic formula

The general solution to (any quadratic):

** = [− ± √] /

Derivation: complete the square on in full generality.

**Always works** when ≥ 0. When , no real roots exist (complex roots only — Class 11 territory).

**Example**: = (5 ± 1) / 6 → or 2/3.

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