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ISI 2020 : Problem 2

Source: B.Stat& B.Math Entrance Exam

September 20, 2020
isi2020

Problem Statement

Let aa be a fixed real number. Consider the equation (x+2)2(x+7)2+a=0,xāˆˆR (x+2)^{2}(x+7)^{2}+a=0, x \in R where RR is the set of real numbers. For what values of aa, will the equ have exactly one double-root?
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