Q1. [1] § 4.2 Quadratic Equations § 4.3 Solution of a Quadratic Equation by Factorisation § 4.5 Summary
The roots of the equation $x^2 + 3x - 10 = 0$ are :
- (a) $2, -5$
- (b) $-2, 5$
- (c) $2, 5$
- (d) $-2, -5$
Previously asked in CBSE board exam
2023 30/4/1 Q2
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer
(a) 2, −5
Factorising: $x^2 + 3x - 10 = (x-2)(x+5) = 0$, so $x = 2$ or $x = -5$.
Explanation
Split the middle term as $5x - 2x$; the two numbers must multiply to $-10$ and add to $+3$. Setting each factor to zero gives the roots directly. Always verify: $4 + 6 - 10 = 0$ ✓ and $25 - 15 - 10 = 0$ ✓.
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