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Mathematics 8 Online
OpenStudy (anonymous):

solve 2x^4+x^2-1

OpenStudy (zarkon):

you don't have an equation

OpenStudy (anonymous):

=0

OpenStudy (angela210793):

u can solve it by replacinf x^2=t and u'll get 2t^2+t-1=0 and now u can solve it like a second grade eq.

OpenStudy (nenadmatematika):

use substitution: \[x^2=t\]\[2t^2+t-1=0\]\[t _{1,2}=(-1\pm \sqrt{9})/4\]\[t _{1,2}=(-1\pm3)/4\]\[t1=1/2\]\[t _{2}=-1\] but you throw away that second solution because it's negative so the solutions are \[x _{1,2}=\pm(1/\sqrt{2})\]

OpenStudy (anonymous):

Guys arent we suppose to have 4 solutions?um a bit lost

OpenStudy (anonymous):

since we have x^4?

OpenStudy (angela210793):

yea u get 4 solutions

OpenStudy (nenadmatematika):

I meant you wanted real solutions...:D OK then you can use x^2=-1 so other solutions are i and -i

OpenStudy (anonymous):

how guys?

OpenStudy (angela210793):

from wht nenad got...|dw:1329771354143:dw|..and so on....

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