Mathematics
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OpenStudy (anonymous):
A quadratic equation in form ax^2+bx+c=0 cannot have:
one real solution one imaginary solution
two real solutions two imaginary solutions
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OpenStudy (anonymous):
a and b are answers
OpenStudy (anonymous):
which ones srry I didn't label them
OpenStudy (anonymous):
one real //////////one imginary
OpenStudy (anonymous):
its one or the other
OpenStudy (anonymous):
It can have one real solution if you ignore "repeated" roots.
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OpenStudy (anonymous):
so one inaginary
OpenStudy (anonymous):
Yup, if you twist my arm.
OpenStudy (anonymous):
?
OpenStudy (anonymous):
That was correct thanks
OpenStudy (anonymous):
I do have a certain amount of sympathy with html1618's position.
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OpenStudy (anonymous):
It cannot have 1 imaginary solution as imaginary solutions come from cubics.
\[ax^3 + bx^2 + cx + d\]
OpenStudy (anonymous):
@Twill What are the solutions of x^2 +2?
OpenStudy (anonymous):
2 of 'em, right?
OpenStudy (anonymous):
@estudier i >.>
OpenStudy (anonymous):
well,
x^2 + 2 = 0
x^2 = -2
So x = i
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OpenStudy (anonymous):
Well, not quite; try using the quadratic formula, see what you get...
OpenStudy (anonymous):
+/- 2!
OpenStudy (anonymous):
I thought there was a square root sign in the quadratic formula?
OpenStudy (anonymous):
Sorry, Pie_Boi, didn't mean to hijack your question.
OpenStudy (anonymous):
\[-b +/- \sqrt{b^2 - 4ac}\div2a\]
a =1
b = 0
c = 2
\[\pm \sqrt{(0)^2 - 4(1)(2)} \div2(1)\]
\[\pm \sqrt{-8}\div2\]
\[\pm \sqrt{-4}\]
Gives you i?
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OpenStudy (anonymous):
I can write \[\sqrt{-4}\]
as
\[\sqrt{-1}\sqrt{4}\]
Do you agree?
OpenStudy (anonymous):
Yes, fair point. So i and \[\pm2?\]
OpenStudy (anonymous):
Usually written as \[\pm i \sqrt{2}\]
OpenStudy (anonymous):
Well done.
OpenStudy (anonymous):
Thank you!
Sorry for the Hijack Pie_Boi
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OpenStudy (anonymous):
no problem at all :)