If x-5 \\sqrt{x}-1=0, then x^{2}+ {1}/{x^{2}} is equal to:

SSC CGL 10 Jun 2019 Shift 2 Paper

Question : 69 of 100

Marks: +1, -0

x-5 \√{x}-1=0,

then

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

is equal to:

Solution:

x-5 \√{x}-1=0 \

⇒\√{x}-\ {1}/{\√{x}}=5

\→

Squaring

x+\ {1}/{x}=27

\→

Squaring

x^{2}+\ {1}/{x^{2}}=727

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