$11\mathrm{.}10$ LAB: Quadratic formula Implement the quadratic$\_$formula$()$ function. The function takes $3$ arguments, a$,$ b$,$ and c$,$ and computes the two results of the quadratic formula: See Image The quadratic$\_$formula$()$ function returns the tuple $($x$1,$ x$2).$ Ex: When a $=1,$ b $=-5,$ and c $=6,$ quadratic$\_$formula$()$ returns $(3,2).$ Code provided in main.py reads a single input line containing values for a$,$ b$,$ and c$,$ separated by spaces. Each input is converted to a float and passed to the quadratic$\_$formula$()$ function. Ex: If the input is: $2-3-77$ the output is: Solutions to $2$x$^2+-3$x $+-77=0$ x$1=7$ x$2=-5\mathrm{.}50$ SEE UPLOADED IMAGE for better view $11\mathrm{.}10$ LAB: Quadratic formula Implement the quadratic$\_$formula$()$ function. The function takes $3$ arguments, a$,$ b$,$ and c$,$ and computes the two results of the quadratic formula:

$[$ x$\_1=-$b$+($b$^2-4$ a c$)/2$ a; x$\_2=-$b$-($b$^2-4$ a c$)/2$ a $]$

The quadratic$\_$formula$0$ function returns the tuple $($x $1,$ x $2).$ Ex: When a$=1,$ b$=-5,$ and c$=6,$ quadratic$\_$formula$()$ returns $(3,2).$ Code provided in main.py reads a single input line containing values for a$,$ b$,$ and c$,$ separated by spaces. Each input is converted to a float and passed to the quadratic$\_$formula$($ function. Ex: If the input is:

$[2-3-77]$

the output is:

$[$ Solutions to $2$ x$^2+-3$ x$+-77=0$; x $1=7$; x $2=-5\mathrm{.}50]$

main.py $1$ # Produces the roots of the given quadratic equation. # Does not consider overflow. Does not solve for imaginary roots. def quadratic$\_$formula $($a$,$ b$,$ c$)$ : # Check if the solution is imaginary if b$^**2-4^*$ a$^*$ c$<0$ : return None, None x $1=(-$b$+.$ math $.$sqrt$($b$^**2-4^*$ a$^*$ c$))/2\mathrm{.}0/$ a x $2=(-$b$-.$ math. sqrt $.($b$^**2-4^*$ a$^*$ c$))/2\mathrm{.}0/$ a return $\backslash$times $1,\backslash$times $2$