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Answer 8:-
6x²+x-2=6x²+4x-3x-2=2x(3x+2)-1(3x+2)
=(3x+2)(2x-1)
x=-2/3 or x=1/2
the to find the value of a/b+b/a
then a/b+b/a=a²+b²/ab=(a²+b²)-2ab/ab
=(a+b)²-2ab/ab
=(-2/3+1/2)²-2×-2/3×1/2/-2/3×1/2
=1/36+2/3/-1/3=1+24/36/-1/3
=25/36×-3=-25/12
Answer 9:-
sum and product of the equation is given
so x²-(a+b)x+ab
=x²-(-3/2√5)x+(-1/2)
=x²+3/2√5x-1/2
Answer 10:-
f(x)=ax³+bx²+cx+d
:- a-b+c=-b/a
ab+bc+ca=c/a
abc=-d/a
then 1/a+1/b+1/c=ab+bc+ca/abc
=c/a/-d/a=-c/d
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