fine the quadratic equation whose roots are reciprocal of the roots of x^2-7x+6
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2
Answer:
α+β=
a
−b
=
3
5
& αβ=
3
7
Reciprocal roots are
α
1
&
β
1
⇒
α
1
+
β
1
=
αβ
α+β
=
7
5
& (
α
1
β
1
)=
7
3
⇒ eq
n
is x
2
−(
α
1
+
β
1
)x+
αβ
1
=0
⇒x
2
−
7
5
x+
7
3
=0
⇒
7x
2
−5x+3=0
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