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Mathematics
Mathematics
Problem
Let
α
\alpha
α
and
β
\beta
β
be the zeros of the polynomial
4
x
2
−
5
x
+
1
4x^{2}-5x+1
4
x
2
−
5
x
+
1
. Find the value of
α
2
+
β
2
\alpha^{2}+\beta^{2}
α
2
+
β
2
. a)
25
16
\dfrac{25}{16}
16
25
b)
17
16
\dfrac{17}{16}
16
17
c)
33
16
\dfrac{33}{16}
16
33
d)
9
16
\dfrac{9}{16}
16
9
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