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wu :: forums    riddles    medium (Moderators: Icarus, Grimbal, ThudnBlunder, towr, Eigenray, SMQ, william wu)    Another Radical « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Another Radical  (Read 336 times) ThudnBlunder wu::riddles Moderator Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Another Radical   « on: Apr 18th, 2007, 8:09am » Quote Modify Let a = 10/33     Evaluate 3(2 + a) + 3(2 - a)       « Last Edit: Apr 18th, 2007, 8:23am by ThudnBlunder » IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. SMQ wu::riddles Moderator Uberpuzzler     Gender: Posts: 2084 Re: Another Radical   « Reply #1 on: Apr 18th, 2007, 8:31am » Quote Modify Following Eigenray's methodology from this thread:   x = (u + v)3 --> x3 = u3 + v3 + 3xuv  = 4 + 3x3(4 - b2)  = 4 + 3x3(8/27) = 4 + 2x  --> x3 - 2x - 4 = 0  --> (x - 2)(x2 + 2x + 2) = 0   Which has a unique positive real root of x = 2!   --SMQ IP Logged --SMQ Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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