Can anybody please help me with this troubling question no.7? Its answer is option c). But I cant figure out the process. It would be very helpful if I get the answer by today.
Attachments:
Answers
Answered by
1
PLEASE MARK BRAINLIEST
Attachments:
STORMSUNIL:
I HAVE GIVEN FIRST
Answered by
1
it is given that ,
x=2-√3
x^2+1/x^2= (2-√3)(2-√3)+1/(2-√3)(2-√3)
=7-4√3 + 1/7-4√3
= 7-4√3 + (7+4√3) / (7×7) - (4√3)(4√3)
= 7-4√3 + (7+4√3) / 49-48
=7-4√3 +7 + 4√3
= 7+7=14
x^2 - 1/x^2 = 7-4√3 - 7-4√3
=-4√3 - 4√3 = -8√3
x=2-√3
x^2+1/x^2= (2-√3)(2-√3)+1/(2-√3)(2-√3)
=7-4√3 + 1/7-4√3
= 7-4√3 + (7+4√3) / (7×7) - (4√3)(4√3)
= 7-4√3 + (7+4√3) / 49-48
=7-4√3 +7 + 4√3
= 7+7=14
x^2 - 1/x^2 = 7-4√3 - 7-4√3
=-4√3 - 4√3 = -8√3
Similar questions