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kotesh marikala Grade: 12
        

if a,b,c are inG.P find the ratio of ax2+bx+c=0


 

6 years ago

Answers : (2)

Sudheesh Singanamalla
114 Points
										

this question is not clear , what ratio do you want us to find


a:b:c


in a GP the numbers are always in the ratio of r : 1 with the previous number


so here the ratio is


1 : r : r2 where 'r' is the common term


 


Find 'r' and then we get the ratio.


 


Please approve !

6 years ago
Aniket Ghosh
5 Points
										

IF we are reqd to find the ratio between the roots of the equation ax2+bx+c=0.. then


Let the roots be Y and Z.So reqd to find is Z/Y.


Y+Z=-b/a


YZ=c/a


Let the common ratio of the gp be r


Y+Z=-r and YZ=r2


or (Y+Z)2=YZ


which gives Y2+Z2=-YZ


Dividing by YZ we get Y/z +Z/Y=-1


If Y/Z =m then we have m+1/m=-1


which is impossible as sum of a No and its reciprocal iS alwyz >2 or <-2..so the equation wont have any real roots

6 years ago
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