x = 2+✓3 . Find X²+1/X²
Answers
Answered by
1
your answer is☝️☝️☝️
Attachments:
Answered by
18
Hii ☺ !!
x = 2 + √3
Therefore,
1/x = 1/ 2 + √3
1/x = 1/2 + √3 × 2 - √3 / 2 - √3
1/x = ( 2 - √3 ) / 2² - √3²
1/x = 2 - √3
Therefore,
x + 1/x = 2 + √3 + 2 - √3 = 4.
Squaring both sides,we. get
( x + 1/x)² = 4²
x² + 1/x² + 2 × x × 1/x = 16
x² + 1/x² = 14.
x = 2 + √3
Therefore,
1/x = 1/ 2 + √3
1/x = 1/2 + √3 × 2 - √3 / 2 - √3
1/x = ( 2 - √3 ) / 2² - √3²
1/x = 2 - √3
Therefore,
x + 1/x = 2 + √3 + 2 - √3 = 4.
Squaring both sides,we. get
( x + 1/x)² = 4²
x² + 1/x² + 2 × x × 1/x = 16
x² + 1/x² = 14.
Similar questions