If \\sqrt{x}- {1}/{\\sqrt{x}=\\sqrt{5}, then x^{2}+ {1}/{x^{2}} is equal to:

SSC CGL 13 Jun 2019 Shift 1 Paper

Question : 67 of 100

Marks: +1, -0

\√{x}-\ {1}/{\√{x}}=\√{5},

then

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

is equal to:

Solution:

\√{x}-\ {1}/{\√{x}}=\√{5}

x+\ {1}/{x}=7

x^{2}+\ {1}/{x^{2}}=49-2=47

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