SOLUTION: Given the discriminant k^2+12k+20, find the values of k for its quadratic equation has two distinct real roots, two same real roots and no real roots. I don't understand the dif

Question 1105834: Given the discriminant k^2+12k+20, find the values of k for its quadratic equation has two distinct real roots, two same real roots and no real roots.
I don't understand the difference between the three, if someone has a link to this lesson I would be very grateful!
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Given the discriminant k^2+12k+20,
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The discriminant is not given.
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Discriminant k^2+12k+20 ?
I do not believe so.
Given the discriminant of k^2+12k+20, ... but then the discriminant IS NOT GIVEN.

How about, USE the discriminant of k^2+12k+20 to find how many zeros this expression has?

YOU find the discriminant! You do that!
ax^2+bx+c will have discriminant b^2-4ac.

If discriminant is positive, then there are two real zeros.
If discriminant is 0, then there is one real zero.
If the discriminant is negative, then there are two COMPLEX zeros or BOTH zeros are NOT real. No real zeros.

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Your intermediate algebra book should have a lesson or some instruction about this.
Answer by ikleyn(52905)   (Show Source): You can put this solution on YOUR website!
.
On solving quadratic equations and about the role of the discriminant see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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