anonymous
  • anonymous
NOT A QUESTION (JUST INTERESTING) Alternate derivation of the quadratic formula
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
You may be familiar with the derivation of the quadratic formula by completing the square...
anonymous
  • anonymous
We can get the exact same result by using the sum and products of roots
anonymous
  • anonymous
yes,,you're right

Looking for something else?

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

More answers

anonymous
  • anonymous
given a quadratic equation: ax^2+bx+c=0 let the two roots be p and q (which are equal to x)
hartnn
  • hartnn
yup, tried that, much interesting ...
anonymous
  • anonymous
p+q=-b/c pq=c/a
anonymous
  • anonymous
yes,,that's right
anonymous
  • anonymous
What if we found p-q? (p-q)^2 = p^2 - 2pq + q^2 = (p^2 + q^2) - 2pq = (p+q)^2 - 2pq - 2pq = (p+q)^2 - 4pq = b^2/a^2 - 4*c/a = (b^2-4ac)/a^2 therefore p-q = √(b^2-4ac) /a
anonymous
  • anonymous
sorry, not √ but ±√
hartnn
  • hartnn
did the same way, good,go on.
anonymous
  • anonymous
(p+q)+(p-q)=2p=2x (because a root is a solution of x) 2x = -b/a + √(b^2-4ac) /a x = -b±√(b^2-4ac) ------------- 2a
anonymous
  • anonymous
And viola, the quadratic formula
hartnn
  • hartnn
Good Work !
anonymous
  • anonymous
Thank you
ganeshie8
  • ganeshie8
Excellent ! somehow ive never seen this before. thank you !!
anonymous
  • anonymous
Your welcome
lgbasallote
  • lgbasallote
not satisfied with the completing the square solution huh?
anonymous
  • anonymous
nah, long at messy.. this way seems so much more elegant

Looking for something else?

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