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Mathematics 21 Online
zarkam21 (zarkam21):

Help please xx

zarkam21 (zarkam21):

OpenStudy (viper172):

c positive just learned this yesyerday

OpenStudy (viper172):

*yesterday

OpenStudy (viper172):

can i get my medal plz

zarkam21 (zarkam21):

@mathmale

OpenStudy (mathmale):

Hello, zarkam, Do you know what the "discriminant is," when you're discussing a quadratic equation? You most likely know the quadratic formula. The "discriminant" is the expression

zarkam21 (zarkam21):

Well I do know that if there is a positive discriminant there are two real number solutions

OpenStudy (mathmale):

\[b^2-4ac\] There are 3 cases, zarkam. 1) if the discrim. is positive, your equation has 2 real, different roots. 2) if the discrim. is zero, your equation has 2 real, equal roots. 3) if the discrim. is negative, your equation has either imaginary or complex roots. Are you familiar with this terminology?

OpenStudy (mathmale):

Thank you for sharing "Well I do know that if there is a positive discriminant there are two real number solutions." That's correct. Very good. Note that if your quadratic equation has real roots, they show up as x-intercepts. Now look at the given graph. Do you see any x-intercepts? In other words, does the graph cross the x-axis anywhere?

zarkam21 (zarkam21):

No it does not

OpenStudy (mathmale):

that means that the roots of the quadratic in question are either imaginary or complex.

zarkam21 (zarkam21):

So 0?

zarkam21 (zarkam21):

@mathmale

OpenStudy (mathmale):

@zarkam21 : Which of the following do you observe here? 1) if the discrim. is positive, your equation has 2 real, different roots. 2) if the discrim. is zero, your equation has 2 real, equal roots. 3) if the discrim. is negative, your equation has either imaginary or complex roots. You asked whether "0" was correct. Do you see 2 different, real roots in the diagram? If not, then "0" is not the correct answer.

zarkam21 (zarkam21):

Oh okay so D. because the roots are either imaginary or complex =) Thanks @mathmate for helping =)

OpenStudy (mathmale):

Yes, that's correct. My pleasure.

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