Exercise 2.6 Class 10 Math Solutions – Unit 2 Quadratic Equations and Inequalities, Punjab Board
Step-by-step solutions to Exercise 2.6 of Unit 2: Quadratic Equations and Inequalities for Class 10 Punjab Board students. Covers changing the subject of algebraic, quadratic, and radical formulas by isolating the specified variable.
Exercise Overview
Exercise 2.6 teaches the technique of changing the subject of an algebraic formula in Unit 2 for Class 10 Punjab Board students. A formula expresses an algebraic relationship between multiple physical or mathematical variables. Changing the subject involves systematically rearranging the formula so that a chosen variable is isolated completely on one side of the equation with a positive coefficient of one.
The exercise trains students across diverse formula structures. For fractional equations, students eliminate denominators using cross-multiplication, expand products, gather all terms containing the target variable on one side, factor out the common variable, and divide by the remaining expression. When dealing with radical expressions or squared terms (common in physics equations such as T = 2π√(l/g) or v² = u² + 2as), students apply precise squaring, square rooting, or quadratic formula operations to isolate the subject cleanly.
In Punjab Board examinations (including Lahore, Rawalpindi, Gujranwala, Faisalabad, and Multan Boards), formula rearrangement questions test fundamental algebraic manipulation skills. These questions regularly appear in both objective short questions and multi-part problem sets. Working through these step-by-step solutions ensures students develop the fluency required to manipulate any formula accurately in board examinations.