@interact
def quadratic_eqn(
A = slider(-7, 7, 1, 1),
B = slider(-7, 7, 1, 1),
C = slider(-7, 7, 1, -2)
):
f(x) = A*x^2 + B*x + C
html("$%s = 0$" %f(x))
show(plot(f(x), x, (-10, 10), ymin=-10, ymax=10), aspect_ratio=1, figsize=4)
d = B^2 - 4*A*C
if d < 0:
color = "Red"
sol = "\\text{no solution.}"
elif d == 0:
color = "Blue"
sol = -B/(2*A)
else:
color = "Green"
a = (-B+sqrt(B^2-4*A*C))/(2*A)
b = (-B-sqrt(B^2-4*A*C))/(2*A)
sol = "\\begin{cases}%s\\\%s\\end{cases}" % (latex(a), latex(b))
if B<0:
dis1 = "(%s)^2-4*%s*%s" % (B, A, C)
else:
dis1 = "%s^2-4*%s*%s" % (B, A, C)
dis2 = "\color{%s}{%s}" % (color, d)
html("$Ax^2 + Bx + C = 0$")
html(
"$x = \\frac{-B\pm\sqrt{B^2-4AC}}{2A} = "
"\\frac{-%s\pm\sqrt{%s}}{2*%s} = "
"\\frac{-%s\pm\sqrt{%s}}{%s} = "
"%s$" % (B, dis1, A, B, dis2, 2*A, sol)
)
