If X + 1 X = 3 ; Find X 4 + 1 X 4 - Mathematics

If `x + (1)/x = 3`; find `x^4 + (1)/x^4`

योग

squaring both sides of the equation `(x^2 + (1)/x^2)` = 7 , we get:

`x^4 + (1)/x^4 + 2`

= 49

`x^4 + (1)/x^4`

= 47.

shaalaa.com

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

अध्याय 4: Expansions - Exercise 4.1

अध्याय 4 Expansions
Exercise 4.1 | Q 11.2

Evaluate the following using identities:

(2x + y) (2x − y)

If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]

Evaluate of the following:

46³+34³

If the volume of a cuboid is 3x² − 27, then its possible dimensions are

If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =

If 49a² − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is

Find the square of `(3a)/(2b) - (2b)/(3a)`.

Find the squares of the following:
9m - 2n

Which one of the following is a polynomial?

If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x³ – y³ is ______.