Advertisements
Advertisements
Question
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Sum
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
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
Area : 25a2 – 35a + 12 |
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
Write in the expand form: `(2x - y + z)^2`
Evaluate:
(0.2)3 − (0.3)3 + (0.1)3
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
Evaluate the following without multiplying:
(95)2
Evaluate the following without multiplying:
(999)2
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
Expand the following:
(3a – 2b)3