if x^2-2ra[r]x+r=0,r=1,2,3 are three quadratic equations of which each pair has exactly one root common then the number of solutions of the triplet (a1,a2,a3) is

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- March 12th 2011, 06:22 AMprasumquadratic problem
if x^2-2ra[r]x+r=0,r=1,2,3 are three quadratic equations of which each pair has exactly one root common then the number of solutions of the triplet (a1,a2,a3) is

- March 12th 2011, 07:48 AMHallsofIvy
Your notation is a bit strange. Do you mean , , and ?

By the quadratic formula, the solution to the first is , to the second , and to the third . Compare those in pairs so see how you can get one common root. - March 12th 2011, 09:37 AMprasum
how do we compare these two in pairs