Question

If x=c root b +4, find x+1/x.​

Answer 1

Step-by-step explanation:

1/x = 1/(c√b + 4)

= x + (1/x)

= (c√b + 4) + [1/(c√b + 4)]

= [(c√b + 4)² + 1]/(c√b + 4)

= [bc² + 8c√b + 16 + 1]/(c√b + 4)

= [bc² + 8c√b + 17]/(c√b + 4) → if you want to remove the √ at the denominator

= [(bc² + 8c√b + 17).(c√b - 4)] / [(c√b + 4).(c√b - 4)]

= [bc³√b - 4bc² + 8bc² - 32c√b + 17c√b - 68] / (bc² - 16)

= [bc³√b + 4bc² - 15c√b - 68] / (bc² - 16)