น. x = 1 - √(2) find \:(x - (1)/(x) ) {4}

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asked Jul 13, 2021 188k views

1 vote

น.

$x = 1 - √(2) find \:(x - (1)/(x) ) {4}$

Mathematics
high-school

Puzzl asked

by Puzzl

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6 votes

Answer:

Explanation:

$(1)/(x)=(1)/(1-√(2))\\\\=(1*(1+√(2)))/((1-√(2))(1+√(2)))\\\\=(1+√(2))/(1^(2)-(√(2)))\\\\=(1+√(2))/(1-2)\\\\=(1+√(2))/(-1)\\\\= -[1+√(2)]\\\\x-(1)/(x)=1-√(2)-(-[1+√(2)])\\\\=1-√(2)+1+√(2)\\\\=2$

Riadh answered Jul 18, 2021

by Riadh

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