If a and b, are the zeroes of the given polynomial x² - 8x + 16, than find the value of a/b + b/a
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Answer:
f(x)=6x
2
+x−2
a,b are its zero's / roots.
a+b=
6
−1
,ab=
6
−2
=−1/3
b
a
+
a
b
=
ab
a
2
+b
2
=
ab
(a+b)
2
−2ab
=
(−1/3)
(−1/6)
2
−2(−1/3)
=
−1/3
36
1
+
3
2
=−(
12
1
+2)=
12
−25
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