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Mathematics
Mathematics
Problem
The roots of
2
x
2
−
3
x
=
4
2x^2 - 3x = 4
2
x
2
−
3
x
=
4
are
α
\alpha
α
and
β
\beta
β
. Find the simplest quadratic equation which has roots
1
α
\frac{1}{\alpha}
α
1
and
1
β
\frac{1}{\beta}
β
1
.
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