Chapter 2 Quadratic Equations Exercise 2.2 Class 10th

Exercise 2.2 extends your understanding of quadratic polynomials by not only having you find the zeros of given expressions and verify their relationships with the coefficients, but also guides you in constructing quadratic polynomials from specified sums and products of zeros. It begins with problems where you determine the zeros of six quadratic expressions and validate the sum and product relationships with the coefficients, reinforcing the fundamental identities α+β=−ba\alpha + \beta = -\tfrac{b}{a}α+β=−ab​ and αβ=ca\alpha\beta = \tfrac{c}{a}αβ=ac​. Following that, the exercise challenges you to craft quadratic equations whose roots satisfy given numerical values for sum and product. This dual approach deepens your conceptual understanding of roots–coefficients interplay and enhances your algebraic reasoning through both analytical and constructive tasks.
10-maths-ex-2.2

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