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6x^4 + x^3 + 10x^2 + x + 6 = 0

(solve for x)

2006-11-02 15:43:09 · 5 answers · asked by blue skies 2 in Science & Mathematics Mathematics

If you could give the process it would be greatly appreciated. Thank you.

2006-11-02 15:44:47 · update #1

sorry I don't think it factors out into that. Because when I expanded it the result was 3x^4 + 2 x^3 + 6x^2 - 3x + 6.

2006-11-02 16:21:12 · update #2

my mistake: it expands into 3x^4 - x^3 + 7x^2 + x + 6 when I multiplied the factor together.

2006-11-02 16:26:32 · update #3

5 answers

I have factored it please refer to.

From this solution can be found

2006-11-03 01:48:47 · answer #1 · answered by Mein Hoon Na 7 · 0 0

6x^4 + x^3 + 10x^2 + x + 6 = (x^2 - x + 2) (3x^2 +2x + 3) = 0
and the two quadratic formulas just have complex solutions,
so if you are looking for real roots, the answer is, this polynomial does not have real roots
s

2006-11-02 16:15:31 · answer #2 · answered by Anonymous · 0 1

6 x^4 + x^3 + 10x^2 + x + 6 factorizes into (x^2 - x + 2)(3x^2 +2x + 3), of which both quadratics have only complex roots, being: 1/4(1- i sqrt(15)), 1/4(1 + i sqrt(15)), 1/3(-1 - 2i sqrt(2)), and 1/3(-1 + 2i sqrt(2)).

2006-11-02 16:10:45 · answer #3 · answered by Scythian1950 7 · 0 0

if it somewhat is your calculus homestead paintings????? in case you're in calculus and don't comprehend the thank you to do this then i propose you to drop calculus precise now. a million. remedy for x. 2. remedy for x. 3. subtract 3 from the two sides. use factoring and remedy for x.

2016-12-28 11:34:12 · answer #4 · answered by dustman 3 · 0 0

A general quartic eqn, which this appears to be, is more than you'll get for free from me; try this:
http://en.wikipedia.org/wiki/Quartic_equation

2006-11-02 15:51:13 · answer #5 · answered by Steve 7 · 0 1

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