B blacktown_ Member Joined Apr 30, 2012 Messages 65 Gender Male HSC 2013 Dec 1, 2012 #1 Find the value of n for which the equation (n+2)x^2 +3x-5=0 has one root triple the other
Carrotsticks Retired Joined Jun 29, 2009 Messages 9,494 Gender Undisclosed HSC N/A Dec 1, 2012 #2 Let the roots be k and 3k. The sum of roots is 4k, which is also equal to -3/(n+2). The product of roots is 3k^2, which is also equal to -5/(n+2). We can now solve for n and k simultaneously.
Let the roots be k and 3k. The sum of roots is 4k, which is also equal to -3/(n+2). The product of roots is 3k^2, which is also equal to -5/(n+2). We can now solve for n and k simultaneously.