a little quary

chandra21

Junior Member
Joined
May 23, 2013
Messages
66
are the quadratic formulas valid for irration coefficients of? Here quadratic formula means, if ax^2+bx+c=0,and m and n are the roots of the above equation then is it m+n=(-b/a) possible a,b are irrations.
 
The quadratic formula says that the two roots to the quadratic equation ax2+bx+c=0\displaystyle ax^2+ bx+ c= 0 are given by x1=b+b24ac2a\displaystyle x_1= \frac{-b+\sqrt{b^2- 4ac}}{2a} and x2=bb24ac2a\displaystyle x_2= \frac{-b- \sqrt{b^2- 4ac}}{2a}, whether the coefficients are rational or irrational. And, since the square root parts cancel, x1+x2=b2a+b2a=ba\displaystyle x_1+ x_2= \frac{-b}{2a}+ \frac{-b}{2a}= -\frac{b}{a}. Again that is true for a, b, and c any numbers, ration, irrational, or even complex (except, of course, for a= 0 when the equation wouldn't really be quadratic).
 
thats all i want to know. I can't express my feelings to have such great teacher around me. Many many thanks.
 
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