Welcome to Gaia! ::

Reply Gaia's Math Tutor Guild
Need help with Alpha and Beta - Quadratic, Nature of Roots

Quick Reply

Enter both words below, separated by a space:

Can't read the text? Click here

Submit

Bapp Pogum

Newbie Noob

5,500 Points
  • Grunny Grabber 50
  • Bunny Spotter 50
  • Gaian 50
PostPosted: Tue Feb 24, 2009 5:33 am


The notes state the formula is:

ax^2 + bx + c = 0
Roots: x = (-b + [Square Root of: b^2 - 4ac]) Divided by 2a

And the question I have is:

px^2 - 6x + p = 0 has equal roots
(a) Form a Quadratic Equation
(in terms of x)

(b) Decide whether b^2 - 4ac is equal, more than or less than 0.
PostPosted: Sat Mar 07, 2009 1:44 pm


Look at the given formula. When will it return one result? When the +- part (the square root) is 0. (Actually this is the answer to task (b). Because the square root will be 0 when the expression under it is 0.)
So what you do is form an equation 6^2-4p*p=0 and solve p from it. Insert the solutions in the given equation. I'd solve both of them for x to make sure I got it right.
Ask to expand the explanation if anything was unclear.

Kibrika

Invisible Elder

7,650 Points
  • Alchemy Level 2 100
  • Invisibility 100
  • Nudist Colony 200
Reply
Gaia's Math Tutor Guild

 
Manage Your Items
Other Stuff
Get GCash
Offers
Get Items
More Items
Where Everyone Hangs Out
Other Community Areas
Virtual Spaces
Fun Stuff
Gaia's Games
Mini-Games
Play with GCash
Play with Platinum