A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
If an equation has a discriminant of zero, how many times will the graph touch the x–axis?
 2 years ago
If an equation has a discriminant of zero, how many times will the graph touch the x–axis?

This Question is Closed

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1If a quadratic equation has zero discriminent, how many distinct roots does it have?

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1For example: \[ x^2  2x + 1 = 0 \] How many distinct roots does this equation have?

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1Notice the discriminent of that equation is zero because \[ b^2  4ax = (2)^2  4(1)(1) = 4  4 = 0 \] Hence the equation only has one solution and that solution is \[ x = \frac{b \pm \sqrt{b^2  4ax}}{2a} = \frac{2 \pm \sqrt{0}}{2} = \frac{2}{2} = 1 \]

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1In general, quadratics with zero discriminent have how many distinct roots then? 0, 1 or 2?

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1And here's the last piece of the puzzle. This is the graph of \[ y = x^2  2x + 1 \] Notice how many times it touches or crosses the xaxis.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.