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mazehaq
Group Title
3(x3)^1/3  4(x3)^4/3 + (x3)^7/3 = 0
To make it easier, I substituted (x3) with x, in which I got x^1/3(3  4x +x^2) ...but it can't be factored. Help me out! It's a fairly easy question I bet, but I need a nice way of solving it. Thank you! :)
 2 years ago
 2 years ago
mazehaq Group Title
3(x3)^1/3  4(x3)^4/3 + (x3)^7/3 = 0 To make it easier, I substituted (x3) with x, in which I got x^1/3(3  4x +x^2) ...but it can't be factored. Help me out! It's a fairly easy question I bet, but I need a nice way of solving it. Thank you! :)
 2 years ago
 2 years ago

This Question is Closed

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
actually you might want to substitute x  3 with a instead to avoid confusion
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
but you're right anyway... except for the last part
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
wait on second thought you're right
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
and it can be factored... \[\huge a^{\frac 13} (3  4a + a^2) \implies a^{\frac 13} (a^2  4a + 3)\] can you see it now?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
a^2  4a + 3 is factorable
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
Oh okay! I kept thinking that it was a^2 + 4a  3
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
oh. no wonder
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
yeah. that one isn't factorable
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
so 3  4a + a^2 is a^2  4a + 3 ...right?
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
Okie dokie thank you!
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
welcome
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
So wait, how would I figure out the final answer, I am at (x3)^1/3 (x7)(x7)=0
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
they shouldn't be equal...
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
how did you factor a^2  4a + 3?
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
I skipped a few steps. Remember a = (x3) a^1/3 (a1)(a3) = 0 (x3)^1/3 [(x31)(x33)] = 0 (x3)^1/3 (x4)(x6) = 0
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
sorry about my previous comment tho, I totally typed it wrong, my computer is lagging so bad.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
right. that's better
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
So how do I solve the end?
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
(x3)^1/3 (x4)(x6) = 0
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
that s the end
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
isn't it?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
or do you want x?
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
don't I make each = to zero
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
Like, 2 of my answers will be 4 & 6...
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
now..just equate (x3)^1/3 to 0
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
I know but how :(
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
\[(x  3)^{\frac 13} = 0\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
take the cube root of both sides..what happens?
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
therefore x = 3?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
now solve for x
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
so there's your answer
 2 years ago

mazehaq Group TitleBest ResponseYou've already chosen the best response.1
Okay, so answer is 3,4,6 :) thanks!
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
yup and welcome
 2 years ago
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