question ) . if α , β are roots of ax²+bx+c=0 then find
1) α+β
2) α.β
3) 1\α+1/β
4) α²+β²
5) (α–β)²
6) α–β
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Answer:
1) α+β= -b/a
2) α.β= c/a
3) 1\α+1/β= statement is no clear
4) α²+β²=(α+β)²-2α.β=b²/a²-2c/a= (b²-2ac)/a²
5) (α–β)²=(α+β)²-4α.β=b²/a²-4c/a= (b²-4ac)/a²
6) α–β=√{(b²-4ac)/a²}=√b²-4ac/a....
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