SOLUTION: (5t-3)(5t+4)+3t-4=At^2+Bt+C Where A= ? B= ? C=? I have looked, and looked and I can not figure this equation out. Please help!!

Algebra ->  Equations -> SOLUTION: (5t-3)(5t+4)+3t-4=At^2+Bt+C Where A= ? B= ? C=? I have looked, and looked and I can not figure this equation out. Please help!!      Log On


   

Question 410472: (5t-3)(5t+4)+3t-4=At^2+Bt+C
Where A= ?
B= ?
C=?
I have looked, and looked and I can not figure this equation out. Please help!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the roots are r1 and r2,
t+-+r%5B1%5D+=+0
t-+r%5B2%5D+=+0
%28t+-+r%5B1%5D%29%2A%28t+-+r%5B2%5D%29+=+0
t%5E2+-+%28r%5B1%5D+%2B+r%5B2%5D%29t+%2B+r%5B1%5D%2Ar%5B2%5D+=+0
So, B/A is minus the sum of the roots, and C/A is the product of the roots
(after you divide through by A)
But the left side is not the factored equation,
so I'm stuck, too