Question

if x = 2 + root 3 find the value of x cube + 1 by x cube​

Answer 1

Answer:

Step-by-step explanation:

x = 2 + √3

1/x = 1/(2 + √3)

= (2 -√3)/(2 +√3)(2 -√3)

= (2 -√3)/(2² -√3²)

= (2 - √3)

hence, x + 1/x = (2+√3)+(2-√3) = 4

x³ + 1/x³ = (x + 1/x)³ -3(x + 1/x)

= (4)³ - 3(4)

= 64 -12

= 52

Thank you