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Find the value of abcd

Sagot :

Answer:

Let a and b be the roots of the equation: x2−10cx−11d=0 where c and d be the roots of x2−10ax−11b=0. Find the value of a+b+c+d, assuming that they all are distinct.

I first tried making an equation with roots (a+b) and (c+d) to get the sum of the roots, however I wasn't able to solve this question using that method as the answer which I got was in terms of the variables itself.

I also tried placing a into the first equation and c into the second to cancel out a common term (−10ac), but after cancelling, I got: (a2−c2−11d+11b=0). Now I don't know how to move ahead.