do uk quadratic formula or pq formula? any of them?
I'm working my way through Mathematics for the Nonmathematician and in the section on quadratic equations the author introduces a method of solving them that involves creating a new equation where the roots are the rots of the old one, each increased by one-half the coefficient of x. One of the exercise equations is:
but I don't know how to solve this due to the coefficient of . Can anybody explain it to me?
EDIT: It's actually the pq formula that's used.
we know the pq formula goosh idk how to copy this but i give u the link Resultat av Googles bildsökning efter http://img97.imageshack.us/img97/1020/namnls5zf.jpg
first we divide by 2 because x^2 need to be 1 in pq formula! so we got x^2+4x+3=0
now if we use pq formula
can u finish this im sorry i cant use latex code so its alot easy to see what i do :S
You are given to solve:
I would divide through by 2:
I think the author wants you to then write:
This equation will have two roots which are both 2 more than the original equation.
Thus, the roots of the original equation will be: