Aryan coordinate challenge 2
Find the number of values of for which the inequality and has unique solutions.
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1 solution
there are 2 cases in which it can have a unique solution. we find that it is open upward graph with minimum values at x=-1 and x=2. make D>0,we get 1=>a>-3/4 ----case 1 ----->they have one root common that too between -1 and 2. so putting condition for it we get a=0 -----case 2----->either of equation has only one real root and the other has a negative value of function for that root. we get it at a=1