Chapter 2 Quadratic Equations Exercise 2.4 Class 10th

Exercise 2.4 of Chapter 2 (Quadratic Equations) takes you beyond routine solving into real understanding of how and why solutions behave. We connect the quadratic formula with the discriminant to predict the nature of roots before solving: two distinct real roots when b² − 4ac > 0, one repeated real root when it equals 0, and no real roots when it is negative. You’ll practice identifying a, b, c correctly, simplifying under radicals carefully, and writing final answers in simplest surd or rational form.

This exercise also strengthens your problem-solving workflow on word problems and equations that can be reduced to quadratic form. You’ll translate statements into algebraic equations, choose the physically meaningful root when a context demands it (like lengths, time, or speed), and check units and reasonableness. Along the way, you’ll factor when possible, complete the square when it’s efficient, and switch to the formula when expressions get messy.

By the end, you’ll be comfortable deciding the best method for any quadratic you face, interpreting roots using the discriminant, and justifying answers with clear checks. The skills here directly support exam questions that test accuracy, presentation, and reasoning—so focus on neat steps, discriminant analysis, and writing precise conclusions about the number and type of solutions.
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