X+1/x=3,x^5+1/x^5=? what is the answer

The answer is 123.

Step-by-step explanation:

Given that-

( ) = 3.....................(i)

To find -

( ) = ?

Now squaring both sides of equation (i)-

( ) = 9

( ) = 7....................(ii)

On cubing equation (i) both sides-

( ) = 27

( ) = 27

( ) = 27 - 9

( ) = 18.....................(iii)

Multiply equation (i)  and equation (ii)-

( )  ( ) = 7 × 18

( = 126

( [tex]x^{5} + \frac{1}{x^{5} } ) = 126 - 3

( [tex]x^{5} + \frac{1}{x^{5} } ) = 123

it’s supposed to be -4+45=41

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb