A rectangular playground has its length greater than its width by

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

A rectangular playground has its length greater than its width by 9 m9\,\text{m}. The area of the playground is 136 m2136\,\text{m}^2. (i) Form an algebraic equation in one variable for the width of the playground. (ii) Show that this equation is quadratic in nature and write it in the standard form ax2+bx+c=0ax^{2}+bx+c=0. (iii) Explain, without solving the equation, whether it can have two positive solutions for the width. Give a reason for your answer.

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