Advertisements
Advertisements
Question
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
Sum
Solution
`("p"^2 + 1/"p"^2)`
= `"p"^4 + (1)/"p"^4 + 2`
⇒ (34)2 = `"p"^4 + (1)/"p"^4 + 2`
⇒ `"p"^4 + (1)/"p"^4`
= 1158 - 2
= 1154.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
Find the following product:
\[\left( \frac{3}{x} - 2 x^2 \right) \left( \frac{9}{x^2} + 4 x^4 - 6x \right)\]
If a + b = 7 and ab = 10; find a - b.
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
Evaluate: (6 − 5xy) (6 + 5xy)
If x + y = 9, xy = 20
find: x2 - y2.
If m - n = 0.9 and mn = 0.36, find:
m + n
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2