def f$($x$)$:

return $-12-21*$x $+15\mathrm{.}25*$x$**2$

def false$\_$position$($xl$,$ xu$,$ tol$=1$e$-5)$:

if f$($xl$)*$ f$($xu$)>=0$:

print$("$False Position method fails."$)$

return None

max$\_$iterations $=100$

for iteration in range$($max$\_$iterations$)$:

# Calculate the point using the false position formula

x$\_$root $=$ xu $-($f$($xu$)*($xl $-$ xu$))/($f$($xl$)-$ f$($xu$))$

if f$($x$\_$root$)==0\mathrm{.}0$:

return x$\_$root

# Update the bounds based on the function value at the root

if f$($x$\_$root$)*$ f$($xl$)<0$:

xu $=$ x$\_$root

else:

xl $=$ x$\_$root

# Calculate relative error

relative$\_$error $=$ abs$(($xu $-$ xl$)/$ x$\_$root$)*100$

if relative$\_$error $<$ tol $*100$:

return x$\_$root

return x$\_$root

# Initial guesses

xl $=-5$ # You may need to adjust this

xu $=0$

# Calculate the root

root $=$ false$\_$position$($xl$,$ xu$)$

print$($f$"$The first root of the given function is: $\{$root:$\mathrm{.}6$f$\}")$