If 2a+3b+6c=0, show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1. | 12...

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IITJEE If `2a+3b+6c=0, then prove that at least one root of the eqn ,without using ROLLE IITJEE If `2a+3b+6c=0, then prove that at least one root of the eqn ,without using ROLLE'S THEOREM
If2a+3b+6c=0 (a, b, c in R), then the quadraticequation ax^(2)+bx+c=0 has at least one root - |... If2a+3b+6c=0 (a, b, c in R), then the quadraticequation ax^(2)+bx+c=0 has at least one root - |...
Show that 3a*square(x) + 2bx + c = 0 has atleast one root in (0,1) if a+b+c=0. Show that 3a*square(x) + 2bx + c = 0 has atleast one root in (0,1) if a+b+c=0.
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