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Mathematics
Problem
If 2 and 6 are the roots of the equation
a
x
2
+
b
x
+
1
=
0
ax^2 + bx + 1 = 0
a
x
2
+
b
x
+
1
=
0
, then the quadratic equation, whose roots are
1
2
a
+
b
\frac{1}{2a+b}
2
a
+
b
1
and
1
6
a
+
b
\frac{1}{6a+b}
6
a
+
b
1
, is
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