Question

if x+ 1/x = 5 then find x^3 + 1/x^3​

Answer 1

Answer:

Step-by-step explanation:if x+ 1/x = 5 then find x^3 + 1/x^3​

x+1=5x

4x=1

x=1/4

1/4³+4³

=1/64+64

=1+4096/64

=4095/64

=63.98

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Answer 2

Answer:

65

Step-by-step explanation:

x+1/x=5 and x³+1/x³

x+1=5x

1=5x-x

1=4x

1/4=x ............... eq 1

Now,

x³+1/x³

since x=1/4 (from eq 1)

[(1/4)³+1]/(1/4)³

(1/64+1)/(1/64)

(65/64)/(1/64)

65

So your answer is 65.

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