x=7-4\sqrt{3} అయిన x+\frac{1}{x} విలువ ఎంత?

TS Police Constable Telugu Model Paper 8

Question : 64 of 199

Marks: +1, -0

x=7-4√{3}

అయిన

x+{1}/{x}

విలువ ఎంత?

Solution:

x=7-4√{3}

{1}/{x}= {1}/{7-4 √{3}}

= {1}/{7-4 √{3}}× {7+4 √{3}}/{7+4 √{3}}

= {7+4√{3}}/{(7)^{2}-(4 √{3})^{2}}=7+4 √{3}

x+ {1}/{x}=7-4 √{3}+7+4√{3}

=14

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