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 are given by x1=2a−b+b2−4ac and x2=2a−b−b2−4ac, whether the coefficients are rational or irrational. And, since the square root parts cancel, x1+x2=2a−b+2a−b=−ab. 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).
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