Question

if x+1/x=3 then x^5+1/x^5=​

Answer 1

Mark it as brainliest

Answer:

The answer is 33.

Step-by-step explanation:

x+1/x=3

x+1=3x (By cross multiplication)

3x-x=1

2x=1

x=1/2

Now, substituting x=1/2 in the equation, we get

(1/2)^5+1/(1/2)^5

=1/32+1/1/32

=1+32/32/1/32

=1+32/1

=33

I hope this will help you.

Answer 2

Answer:

123

Step-by-step explanation:

given x+1/x=3

squaring on both sides,

x^2+1/x^2=7

cubing given equation on both sides,

x^3+1/x^3=18

[x+y]^5=x^5+y^5+10x^2y^3+10y^2x^3+5x^4y+5y^4x

3^5=x^5+1/x^5+10[x+1/x]+5[x^3+1/x^4]

243=x^5+1/x^5+90+30

x^5+1/x^5=243-120

x^5+1/x^5=123