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Mathematics 7 Online
OpenStudy (anonymous):

Help with an equation, here is what I have so far x^4+5x^2-6=0 (x^2-3)(x^2-2) Can someone correct me, I know I have an error but I cannot seem to find it.

OpenStudy (amistre64):

its most likely the -2 -3 parts

OpenStudy (anonymous):

I thought so, do I need to use the quadratic equation for this?

OpenStudy (amistre64):

not really; notice that the last term is -6; the only way to get a - with mulitplication is if you have different signs so, you need factors of -6 that combine (add) to get +5

OpenStudy (anonymous):

6 and 1...how did I not think of that. Thanks!

OpenStudy (amistre64):

:) good luck

OpenStudy (anonymous):

So then (x^2 + 6) (x^2 - 1)

OpenStudy (amistre64):

yes, that looks better now. the x^2 - 1 may factor as well

OpenStudy (amistre64):

the extent to which you go is determined by the nature of the solution .... are you simplifying or finding zeros?

OpenStudy (anonymous):

Finding Zeros. So I believe that I shouldnt factor the (x^2 -1) correct? It would be x2=-6 x2=1 does that seem right?

OpenStudy (amistre64):

yes, that seems correct. are your solutions spose to stay in the real numbers; or can they be complex as well? cuase the x^2=-6 is gonna be complex

OpenStudy (anonymous):

Well, I don't know if this helps but they can be real or imaginary. That's all I know. Why, is there something else I can do with the (x^2 - 1) and the (x^2 + 6)?

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