If \\sqrt{x}+ {1}/{\\sqrt{x}=\\sqrt{6} then x^{2}+ {1}/{x^{2}} is equal to:

SSC CGL 11 Jun 2019 Shift 1 Paper

Question : 57 of 100

Marks: +1, -0

\√{x}+\ {1}/{\√{x}}=\√{6}

then

x^{2}+\ {1}/{x^{2}}

is equal to:

Solution:

\√{x}+\ {1}/{\√{x}}=\√{6}

⇒ Squaring booth sides

x+\ {1}/{x}=6-2=4

\⇒

Squaring both sides

=x^{2}+\ {1}/{x^{2}}=16-2=14

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