SOLUTION: How would I go about finding the discriminant for this: (b^2+a^2)x^2-2a^2kx+a^2k^2-a^2b^2=0 What would a, b, and c coefficients be for b^2 - 4ac for this equation? Thanks, I r

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: How would I go about finding the discriminant for this: (b^2+a^2)x^2-2a^2kx+a^2k^2-a^2b^2=0 What would a, b, and c coefficients be for b^2 - 4ac for this equation? Thanks, I r      Log On


   

Question 1173058: How would I go about finding the discriminant for this:
(b^2+a^2)x^2-2a^2kx+a^2k^2-a^2b^2=0
What would a, b, and c coefficients be for b^2 - 4ac for this equation?
Thanks, I really appreciate it!
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

1)   Everybody knows the formula for discriminant  (I mean,  everybody who knows the word "discriminant").


2)   Identify coefficients at  x^2,  x  and the constant term;   then use the discriminant formula.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
How would I go about finding the discriminant for this:
(b^2+a^2)x^2-2a^2kx+a^2k^2-a^2b^2=0
What would a, b, and c coefficients be for b^2 - 4ac for this equation?
Thanks, I really appreciate it!
  matrix%281%2C3%2C+ax%5E2+%2B+bx+%2B+c%2C+%22=%22%2C+0%29 <==== General form of a quadratic equation
     ax2    +       bx       +    c = 0 
     |              |             |
     |              |             |
     |              |             |
     ˅              ˅             ˅
  <==== Compare this to the above!

Can you now see what a, b, and c, are?