Advertisements
Advertisements
Question
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Sum
Advertisements
Solution
`("r"^2 + 1/"r"^2)^2`
= `"r"^4 + (1)/sqrt(4) + 2`
⇒ (18)2 = `"r"^4 + (1)/"r"^4 + 2`
⇒ `"r"^4 + (1)/"r"^4`
= 324 - 2
= 322.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(3a – 7b – c)2
Write the following cube in expanded form:
(2x + 1)3
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Evaluate of the following:
(99)3
Find the following product:
(x2 − 1) (x4 + x2 + 1)
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.
Expand the following:
(x - 3y - 2z)2
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
