Question

if x=2+3 root2 then find the value of x- 1 upon x

Answer 1

${ \bold{ \green{ \underline{ \underline{ANSWER}} : - }}}$

GIVES THAT :–

$x = 2 + 3 \sqrt{2}$

TO FIND :–

$x - \frac{1}{x}$

$= x - \frac{1}{x} \\ \\ = 2 + 3 \sqrt{2} - \frac{1}{2 + 3 \sqrt{2} } \\ \\ = \frac{ {(2 + 3 \sqrt{2} )}^{2} - 1}{2 + 3 \sqrt{2} } \\ \\ = \frac{2 + 18 + 6 \sqrt{2} - 1}{2 + 3 \sqrt{2} } \\ \\ = \frac{19 + 6 \sqrt{2} }{2 + 3 \sqrt{2} } \times \frac{2 - 3 \sqrt{2} }{2 - 3 \sqrt{2} } \\ \\ = \frac{38 - 57 \sqrt{2} + 12 \sqrt{2} - 36}{4 - 18} \\ \\ = \frac{2 - 45 \sqrt{2} }{ - 14} \\ \\ = \frac{45 \sqrt{2} }{14} - \frac{1}{7}$

Answer 2

Answer:

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