your last three answers all correct.but they have their own way . i think no need me to explain it more.and i think choose happy_ min as the best answer, she is nice girl...
Good Luck.
2006-09-17 03:32:10
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answer #1
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answered by sweetie 5
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You either use trial and error to find 1 real root of the equation, or input that equation into a program for graphs like mathcad.
By trial and error, assuming that n^3-8n^2 + n + 42 = 0
n = -2
Substitute n = -2 into equation to get 0, so ( n + 2) is a real root of the equation.
From then on, use long division, dividing the equation by ( n + 2) to get n^2 -10 n + 21,
factorise this expression to get ( n - 7 ) ( n - 3)
Therefore the equation can be expressed as ( n+2)(n-7)(n-3) = 0
n= -2, 3, or 7.
2006-09-17 03:14:15
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answer #2
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answered by lkraie 5
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First some big assumptions:
1) when you say "find x" you really mean find "n"
2) this equation is equal to 0.
If those assumptions are valid the answers are -2, 3, and 7
The way to solve this is to factor thusly:
(n+2)(n-3)(n-7)=0
So, at least one of these values in parenthesis has to equal to zero, then take turns setting each to 0 to solve and you get the answer.
How did I get the original factors? Blind luck sorta. I figure that there had to be three factors to come up with n^3 so...
2-3-7 = -8 and (2)(-3)(-7) = 42.
I plugged those numbers in and it worked.
Clear as mud?
2006-09-17 03:07:19
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answer #3
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answered by MDMMD 3
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I think u've typed wrong, eqn. is : n^3-8n^2+n+42=0.
Use vanishing method. n=(-2) satisfies the eqn.
so, n^2.(n+2)-10n.(n+2)+21.(n+2)=0.
=> (n+2).(n^2-10n+21)=0.
=> (n+2).(n^2-3n-7n+21)=0.
=> (n+2).[n.(n-3)-7.(n-3)]=0.
=> (n+2).(n-3).(n-7)=0.
Therefore, n=(-2),3,7.
Plz, choose my answer the best.
2006-09-17 03:09:46
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answer #4
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answered by Innocence Redefined 5
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There is no way to simplify this term.
2006-09-17 03:01:51
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answer #5
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answered by Daniel Sch 1
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impossible
2006-09-17 03:02:49
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answer #6
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answered by Anonymous
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www.quickmath.com should help you out.
2006-09-17 06:56:27
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answer #7
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answered by Sherman81 6
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you can't simplify this question
2006-09-17 03:04:11
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answer #8
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answered by Katie H 2
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