SOLUTION: find the condition that the root of the equation ax^2+bx+c=0 may be in the ratio m:n

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Question 38622: find the condition that the root of the equation ax^2+bx+c=0 may be in the ratio m:n
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
AX^2+BX+C=0
ROOTS ARE IN RATIO M:N...LET THE ROOTS BE MY AND NY
SUM OF ROOTS =MY+NY=Y(M+N)=-B/A
Y=-B/A(M+N)
PRODUCT OF ROOTS=MNY^2=C/A
MN*{-B/A(M+N)}^2=C/A
MNB^2=CA^2(M+N)^2/A=CA(M+N)^2