Question

if x=5+2root 6 find x^2+1/2x^2

Answer 1

Step-by-step explanation:

given:-

$x = 5 + 2 \sqrt{6}$

${ x}^{2} = {(5 + 2 \sqrt{6)} }^{2}$

${x}^{2} + (1 \div 2 {x}^{2}) = {(5 + 2 \sqrt{6} )}^{2} \\ + (1 \div 2{(5 + 2 \sqrt{6} )}^{2} )$

=

$(2 {(5 + 2 \sqrt{6}) }^{4} + 1) \div \\ 2 {(5 + 2 \sqrt{6} )}^{2}$

further sol. is in photo

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