Question

if x=2+√3 find the value of X3+1/x3​

Answer 1

Answer:

Step-by-step explanation:

x=2+sqrt(3)

x^2=4+3+4sqrt(3)=7+4sqrt(3)

1/x=1/2+sqrt(3)=2-sqrt(3)/1=2-sqrt(3)

1/x^2=4+3-2sqRt(3)=7-4sqrt(3)

x^3+1/x^3=(x+1/x)(x^2+1/x^2-1)

=(4)(14-1)

=52

Answer 2

Step-by-step explanation:

solutions:

x=2+√3

=X3+1

x3

placing the values of X,we get

(2+√3)3+1

(2+√3)3

=6+3√3+1

6+3√3 .........(3√3 should be cancelled)

=6+1

6

=7

6