Ifa-6\sqrt{a}+1= 0,find the value of a^{2}+\frac{1}{a^{2}}

  • Option 1)

    1158

  • Option 2)

    1165

  • Option 3)

    1154

  • Option 4)

    1442

  • Option 5)

    1446

Answers (1)

            a-6a^{1/2}+1=0

Dividing by a

a^{1/2}-6+\frac{1}{a^{1/2}}=0

a^{1/2}+\frac{1}{a^{1/2}}=6

            Squaring both sides

a+\frac{1}{a}= 34

            Squaring both sides

a^{2}+\frac{1}{a^{2}}= 1154

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