If \sqrt{a}-\frac{1}{\sqrt{a}}= 6find the value of a^{2}+\frac{1}{a^{2}}\left ( a> 1 \right )

  • Option 1)

    1162

  • Option 2)

    1442

  • Option 3)

    1225

  • Option 4)

    942

  • Option 5)

    1158

Answers (1)

A^{1/2}-\frac{1}{a^{1/2}}= 6

Squaring both side

a+\frac{1}{a}= 38

Squaring both sidesa^{2}+\frac{1}{a^{2}}=1442

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