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Mathematics 18 Online
OpenStudy (anonymous):

Describe the roots of the equation shown below. 3x^2 + 4x + 2 = 0 can somebody describe the process for finding this?

OpenStudy (imstuck):

factor it. When you find where x is 0, then those are the roots.

OpenStudy (imstuck):

Use the quadratic formula and you can factor it that way. Your roots are nonreal complex, I believe, at least one of them is.

OpenStudy (solomonzelman):

4²-4(3)(2) → 16-24 → -8 There are imaginary roots

OpenStudy (solomonzelman):

The discriminant is negative.

OpenStudy (anonymous):

what are irrational, complex, rational, and double roots?

OpenStudy (anonymous):

A. There are two complex roots. B. There are two real, irrational roots. C. There are two real, rational roots. D. There is one real, double root.

OpenStudy (imstuck):

It's A. There are two complex roots. They are\[\frac{ -2\pm i \sqrt{2} }{ 3}\]

OpenStudy (imstuck):

Do you know what irrational and rational roots are as opposed to complex?

OpenStudy (anonymous):

not really... I'm self teaching all this to myself

OpenStudy (solomonzelman):

I will start from that there is a symbol for `√-1` and it is ` i ` In other words ` i = √ -1` it is imaginary, because it is a made number, so that you can write √-25 as 5i, because √-25 = √(25 × {-1} ) = √(5² × {-1} ) =5√-1 = 5i are you more or less comfortable with what I am saying ?

OpenStudy (solomonzelman):

you can basically factor out of -1 inside the root, and call √-1 → " i " .

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