import math def roots1(outfile,a,b,c): r1 = "%f*x^2 + %f*x + %f == 0 \ninfinite roots."%(a,b,c) outfile.write(r1) def roots2(outfile, a,b,c): r2 = "%f*x^2 = %f*x + %f = 0\nhas no roots."%(a,b,c) outfile.write(r2) def roots3(outfile, a,b,c): y = -c/b r3 = "%f*x^2 + %f*x +%f = 0\nhas one root: x =%f"%(a,b,c,y) outfile.write(r3) def roots4(outfile,a,b,c,d): y = (-b)/(2*a) r4 = "%f*x^2 + %f*x + %f = 0\nd = %f\nhas two real roots:\nx1 = %f"%(a,b,c,d,y) outfile.write(r4) def roots5(outfile,a,b,c): x1 = ((-b) + math.sqrt(d))/(2*a) x2 = ((-b) - math.sqrt(d))/(2*a) x1 = float(x1) x2 = float(x2) r5 = "%f*x^2 + %f*x + %f = 0\nd = %f\nhas two real roots:\nx1 = %rf\nx2 = %f"%(a,b,c,d,x1,x2) outfile.write(r5) def roots6(outfile,a,b,c): d = -d x1r = (-b)/(2*a) x1i = math.sqrt(d)/(2*a) x2r = x1r x2i = -xli r6 = "%f*x^2 = %f*x + %f = 0\nd = %f\ntwo complex roots:\nx1 = % f + i * %f\nx2 = %f + i *%f\n"%(a,b,c,d, x1r, x1i, x2r, x2i) outfile.write(r6)
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