Product of roots of the equation
(x−1) (x−2) (x−3) up to (x−20) = 0 is
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Answer:
x
2
−(2b−1)x+b
2
−b−20=0
The roots are:
x=
2
(2b−1)±
(2b−1)
2
−4×(b
2
−b−20)
=
2
(2b−1)±
4b
2
+1−4b−4b
2
+4b+80
=
2
(2b−1)±
81
=
2
(2b−1)±9
∴x=
2
2b−1+9
=b+4
or,x=
2
2b−1−9
=b−5
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