AP ICET 2019 Shift 2 Paper

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Question : 81 of 200

Marks: +1, -0

If x =

{17+12√2}/{17-12√2}

then

x+1/x

= ?

577
1154
204 $√2$
1682

Solution:

Given

x=\;{17+12 √{2}}/{17-12 √{2}}

⇒ x+1 /x=\;{17+12 √{2}}/{17-12 √{2}}+\;{17-12 √{2}}/{17+12 √{2}}

=\;{(17+12 √{2})^{2}+(17-12 √{2})^{2}}/{(17)^{2}-(12 √{2})^{2}}

=289+288+289+288=1154

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