A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

I am confused could some explain this to me: explain how to solve a quadratic equation using the quadratic formula and demonstrate the process

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -b + or - \[-b \pm \sqrt{b^2-4ac}\]

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    not the top one only the second one

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The quadratic formula is used to find the roots of a quadratic equation in standard form. For example, given the quadratic equation: \[1x ^ {2} + 2x + 2 = 0\] a is the coefficient of x^2, which is 1. b is the coefficient of x, which is 2. c is the constant, which is also 2. The quadratic formula itself is: \[(-b \pm \sqrt(b ^ {2} - 4 ac))/ 2a\] You would substitute the values you have from your equation into the formula, and then get two values. Those two values would be your roots for the quadratic equation. \[(-(2) \pm \sqrt(2^{2} - 4(1)(2)))/ 2(1) \]\[ = -2 \pm \sqrt(4 - 8) = -2 \pm (\sqrt -4) = -2 \pm 2i\] -2 + 2i would be one solution, -2 - 2i would be the second.

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what does 2i stand for?

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, sorry. The i here stands for imaginary, the square root of negative one. I should have came up with a simpler example. In any case, the presence of the i indicates that there are no real roots for the original quadratic equation. You can use an equation that has real roots (e.g., x^2 + 3x + 2 = 0) with the quadratic formula, and the answer you get will be the same thing as the roots you would get from factoring, if your calculations were not incorrect. (x = -2, -1)

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.