Question

x-1/x=1/3 evaluate x3-1/x3​

Answer 1

Answer:

x-1/x = 3, Find the value for x3-1/x3. x- 1/x = 3 x^2 -1 = 3x x^2 - 3x -1 = 0 x² -3x -1 = 0 writing this in standard form: 1 x² -3 x-1 = 0 A = 1, B = -3, C = -1 the roots are x = (-B +/- sqrt( B² -4 A C) )/(2A) -B/(2A) = 3/2 B² - 4 A*C = (-3)² -4 * (1)(-1) B² - 4 A*C = 13 x = 3/2 +/- sqrt(13)/2 x^3 = (3 +/- sqrt(13)^3/8 1/x^3 = 8 /(3 +/- sqrt(13))^3 you can not write x^3 + 1/x^3 DID ...

Answer 2

Answer:

see the attachment

hope it helps