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quadratic equation that has two solutions but cannot be solved by factoring
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let the roots be complex numbers
(a+bi - x) (a-bi - x)
i spose that still factors but just not across the reals
x^2 - x - 7 = 0 cannot be factored
ambitious much? \[\large x^2 + 2 = 0\] works just fine XD
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but has 2 solutions solve this by either completing the square or use the quadratic fromula
Oops... I meant \[\large x^2 -2= 0\] XD #fail
\[x=[ -b(+/-)\sqrt{b ^{2}-4ac}]/2a\]
use it...
all quadratics have 2 solutions, they just need not be distinct
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Cannot be solved by factoring... :D LOL technically, even \[\large x^2 - 2 = 0\] can be factored, right? haha \[\large (x+\sqrt2 )(x-\sqrt2) = 0\] Still though... meh, nvm ^_^
yep :)
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