Quadratic Equations — Question Ex 4.2 Q2
Back to all questionsSolve the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was ₹750. We would like to find out the number of toys produced on that day.
CBSE Class 10 Quadratic Equations — Complete Guide
Quadratic Equations is one of the highest-weightage chapters (5-7 marks). The quadratic formula and nature of roots are tested every year without exception.
Quick Revision: Key Concepts
- Standard form: ax² + bx + c = 0, a ≠ 0
- Factorisation: Split middle term (product = ac, sum = b)
- Quadratic formula: x = [−b ± √(b² − 4ac)] / 2a
- Discriminant D = b² − 4ac: D > 0 (two roots), D = 0 (equal roots), D < 0 (no real roots)
- Word problems: Always check validity of both roots
Most Important Questions
- Solve by factorisation and quadratic formula
- Find k for which equation has equal/real/no real roots
- Word problems: consecutive numbers, area, speed-distance-time
- Nature of roots determination
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