Let be a real number

MATHEMATICS · Multi-part · CBSE · Mathematics · Algebra Play · Algebra Play

Problem

Let kk be a real number. Study the algebraic statement (k−3)x+k2=0(k-3)x+k^{2}=0. (i) For which values of kk does the statement become a linear equation in one variable? Give reason for your answer. (ii) For which values of kk does the statement fail to be a linear equation in one variable? Explain why. (iii) When the statement is a linear equation in one variable, find its solution in terms of kk and comment on how the solution depends on the parameter kk.

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