ENGR $1204$ Programming Languages in EngineeringLab $12$ Python Implementation of MATLAB Lab $2$ Note: For all labs and assignments copy and paste into a Word file your program $($script file$),$ the relevant command window and plots if applicable. Try to condense the print$-$out as best as possible. Convert the MATLAB program on the reverse side to a PYTHON program $(.$py script file$)$ to use the quadratic formula to solve for the roots of the equation a x $2+$ b x $+$ c $=0$ Recall there are three cases, depending on the value of the discriminant disc $=$ b $24$ a c Set up your program to allow you to enter numerical values for the coefficients a$,$ b and c$.$Use nested if$-$else selection statements to display one of the three messages below, followed by the solution for the roots: Two real roots exist. Double equal root exists. Two complex conjugate roots exist. Note that if the roots are complex, PYTHON will automatically display them in complex form $($using j $,$ the unit imaginary quantity equivalent to i $).$ A sample output is shown below: Enter a: $2$Enter b: $5$Enter c: $4$Two complex conjugate roots exist.x$1=-1\mathrm{.}2500+0\mathrm{.}6614$ j$,$ and x$2=-1\mathrm{.}2500-0\mathrm{.}6614$ j Run your program for the three cases shown:$(1)$ a $=1,$ b $=4,$ c $=2(2)$ a $=1,$ b $=4,$ c $=4(3)$ a $=1,$ b $=4,$ c $=8\%$ Lab $2$ MATLAB Solution to Quadratic Equation a x$2+$bx $+$ c $=0\%$ Enter quadratic equation coefficients.a $=$ input$(\text{'}$Enter a: $\text{'})$;b $=$ input$(\text{'}$Enter b: $\text{'})$;c $=$ input$(\text{'}$Enter c: $\text{'})$; $\%$ Determine nature of the roots.disc $=$ b $^2-4*$ a $*$c;if $($disc $>0)$ disp$(\text{'}$Two real roots exist.$\text{'})$elseif $($disc $<0)$ disp$(\text{'}$Two complex conjugate roots exist.$\text{'})$else disp$(\text{'}$Double real root exists.$\text{'})$end $\%$ Calculate and display the roots.disp$(\text{'}$The roots are: $\text{'})$x$1=(-$ b $+$ sqrt$($disc$))/(2*$ a$)$x$2=(-$ b $-$ sqrt$($disc$))/(2*$ a$)$ Note: For Python, to display the roots as shown in the sample output, remove the line disp$($The roots are: $).$ Then, calculate x$1$ and x$2,$ and display the results by adding the statement below: print$(\text{'}$ x$1=\{$: $\mathrm{.}4$f$\},$ and x$2=\{$: $\mathrm{.}4$f$\}\text{'}.$format$($x$1,$ x$2))$