Math, asked by swayam1819ss, 9 months ago

If x = 3 - 2√2 ,then find the value of x - 1/x *​

Answers

Answered by lohithchittala
0

Answer:

Step-by-step explanation:

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Answered by udayanammukrishnan
1

Answer:

Your answer is (- 14 - 14√2).

Step-by-step explanation:

Given that x = 3 - 2√2

Then 1/x = 1/3 - 2√2

=1(3 + 2√2)/(3 - 2√2)(3 + 2√2)

=3 + 2√2/3² - (2√2)²

=3 + 2√2/9 - 8

=3 + 2√2/1

=3 + 2√2

⇒1/x² = (3 + 2√2)²

=3² + 2 × 3 × 2√2 + (2√2)²

=9 + 12√2 + 8

=17 + 12√2

∴ x - 1/x² = 3 - 2√2 - (17 + 12√2)

= 3 - 2√2 - 17 - 12√2

= (- 14 - 14√2)

hope it helps

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