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Mathematics
Mathematics
Problem
If
α
\alpha
α
,
β
\beta
β
are the roots of the equation
x
2
−
3
x
+
1
=
0
x^2 - 3x + 1 = 0
x
2
−
3
x
+
1
=
0
, then the equation with roots
1
α
−
2
\frac{1}{\alpha - 2}
α
−
2
1
,
1
β
−
2
\frac{1}{\beta - 2}
β
−
2
1
will be (A)
x
2
−
x
−
1
=
0
x^2 - x - 1 = 0
x
2
−
x
−
1
=
0
(B)
x
2
+
x
−
1
=
0
x^2 + x - 1 = 0
x
2
+
x
−
1
=
0
(C)
x
2
+
x
+
2
=
0
x^2 + x + 2 = 0
x
2
+
x
+
2
=
0
(D) None of these
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