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Problem 1 . Quadratic Equations plz identify what it problem 1 and what is problem 2 this is in python thankyou A quadratic equation has

Problem 1. Quadratic Equations plz identify what it problem 1 and what is problem 2 this is in python thankyou
A quadratic equation has the form:
a x 2+ b x+ c=0
The two solutions (called roots) are given by the formula:
x 1,2=b\pm b 24 a c
2 a (1)
Write a program with a loop that :
a) solves quadratic equations with coefficients read from the terminal,
b) visualizes the corresponding quadratic function y= ax
2+bx +c using the matplotlib.pyplot module
(replacing module pylab used in the book).
Details:
1. The program consists of a main while loop (an infinite loop) in which the user is prompted to enter
values for coefficients a, b, and c. Assume the user types valid float numbers from the terminal. The
program converts the input to float type and then uses formula (1) above to compute solutions x1 and
x2, as follows:
if b 24 ac <0 then the solutions are complex numbers (i.e. not real) and the program displays
the string no real solutions,
if b24 ac =0 then x1=x2 and the program displays: one solution: followed by the value x1.
if b 24 ac >0 then the solutions are distinct and the program displays two solutions:
followed by the values of x1 and x2.
To keep the problem simple we can assume that the user never enters a value for coefficient a that is
equal to 0.
To stop the loop and end the program the user just types the ENTER key instead of the string for
coefficient a.
2. Within the main loop, after printing the values of the real solutions (if any) to the terminal the
program displays the graphic of the quadratic function y= ax
2+bx +c using the matplotlib.pyplot
module. The chart should use 150 points.
If the function has real roots (one or two) make sure the roots are visible on the chart. E.g. if the
roots are -1 and 3 use a domain interval for values x (on the 0x axis) that includes -1 and 3, like
[-3,5].
If the function has no real roots, then center the function domain (x values) on the functions
minimum or maximum value, which is x opt =b
2 a .
Pick your own approach to select the functions domain while complying with the above
requirements.
3. Insert the source code from p1_...py into the h1.doc Word document. The grader appreciates if you
use syntax highlighting, although it is not required.
4. Take a screenshot of the PC desktop showing the Spyder Python shell and the matplotlib figure
window and paste it in the h1.doc file after the source code.
The screenshot may look similar to this one:
Here is a sample user session on the terminal:
Problem 2. Pythagorean Numbers
The lengths (a,b,c) of the three sides of a right triangle are related by this well-known formula:
a2+ b2= c2.
A Pythagorean triple consists of three positive integer numbers bound by the above relation. An
example of a triple is (3,4,5).
Enter a: 1
Enter b: 2
Enter c: 1
one solution: -1.00000
Enter a: 3
Enter b: 0
Enter c: 1
no real solutions
Enter a: 1
Enter b: -1
Enter c: -6
two solutions: x1=-2.00000 x2=3.00000
(user types CTRL-Z on Windows to enter EOF and finish the program)
Write program p2_.....py that reads from the terminal a positive integer n and that computes and
displays to the terminal all possible Pythagorean triples (a,b,c), where 0

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