View Single Post
Old 12-01-2006, 05:37 AM   #15 (permalink)
Pip
Likes Hats
 
Pip's Avatar
 
Location: Stockholm, Sweden
Substitute (7x-2) with a ->

a^1/3 + (a+7)^1/3 = 3

(a+7)^1/3 = 3 - a^1/3

Raise both sides to the power of 3 ->

a+7 = 27 - 27a^1/3 + 9a^2/3 + a

Substitute a^1/3 with b and muck about ->

2b^3 - 9b^2 + 27b - 20 = 0

Which should be solvable. Remember that b = (7x-2)^1/3
Pip is offline  
 

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73