.
9. If a and B are the roots of the equation 5x2 + 2x - 3 = 0. Find the value of (a2/B + B2/a).
Answers
Answered by
3
Answer:
Step-by-step explanation:
α,β are roots of 3x
2
−5x+2=0
α+β=−
a
b
=
3
5
a=3,b=−5,c=2
αβ=
a
c
=
3
2
β
α
+
α
β
=
αβ
α
2
+β
2
=
αβ
(α+β)
2
−2αβ
=
3
2
(
3
5
)
2
−2(
3
2
)
=
3
2
9
25
−
3
4
=
3
2
9
25−12
=
9
13
×
2
3
=
6
13
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