How to solve quadratic equations using Python - Learn with Coding

2022-12-25T01:40:00.002-08:00

Today We are going to talk about Quadratic Equations. First, we want to tell you that this is not only a Mathematical lesson. There are several tricks to solving quadratic equations. But here we use programming. And here we use Python Programming language to it.

Content Map

01) How can we solve this manually?

02) Let's convert it to an algorithm!

02) Code it and use it

How can we solve this manually?

There are many tricks to solve this. but here we want to create a program for it. So we use the quadratic formula. Let's made it. And also here we don't try to focus mainly on the manual method. Anyway, let's start.

This is the calculation of the isolation of x. If you can't study this well you can watch this video by clicking here.

Let's convert it to an algorithm!

In the above, we solve quadratic equations in the manual method. But actually, we want to create a program for it. So we have to make a master plan for this😎. And the plan is...

Algorithm So let's make an algorithm for this process.

Input details

First, we have to know the values of a, b and c. So this is the input of this program.

The logical part

next, we have made the logical part of this. Now we have values of a, b and c. And we made the formula to find x using the above variables. But we can't make this yet. because sometimes quadratic equations give two values for this. Then what do we have to do?

We can make this for several ways. But we use a more simple algorithm for this.

First we can identify the part of equation that gives two values.

👈 So, this is the part. In here you can see this mathematical expression gives (+) value and (-) value. Now we can assign the value of this expression to a variable. And then we can get the two values by multiplying the variable by (+1) and (-1).

In here we use the variable name as "y".

Next we have to make two expressions to print two values by using variable "y".

y = square root of (b^2 - 4ac) ;

so we can substitute "y" for the places with the above expression. So we can make the final expression as,

(y - b) / (2a) and according to above, y change to (-y) and (y). then now we have two final equations as;

f1 = (y - b) / (2a) and

f2 = ((-1 * y) - b) / (2a)

(*f1 and f2 is final answer variables )

And this two equations can be equal. So,

if the value of both equations are equal we can write it as;

f1 = f2 then

there are no two answers so, there is only one answer and the answer is one of these variables.

because both of variable values are equal. Now we have an algorithm so, let's code the program.

Code it and use it

1) First of all let's assign the known values for the variables.

a = input("Enter a :")

b = input("Enter b :")

c = input("Enter c:")

2) Define variable data types for a, b and c.

a = float(a)

b = float(b)

c = float(c)

3) Create y, f1 and f2 variables to assign mathematical expressions.

y = ((b*b) - (4*a*c))**(1/2)

f1 = (y - b) / (2*a)

f2 = ((y*-1) - b) / (2*a)

4) Create the logical part.

if f1 == f2:

 print("x is :" , f1)

else:

 print("x is :" , f1)

 print("or x is :" , f2)

The whole code like this 👇

a = input("enter a ")

b = input("enter b ")

c = input("enter c ")

a = float(a)

b = float(b)

c = float(c)

y = ((b*b) - (4*a*c))**(1/2)

f1 = (y - b) / (2*a)

f2 = ((y*-1) - b) / (2*a)

if f1 == f2:

print("x is :" , f1)

else:

print("x is :" , f1)

print("or x is :" , f2)

Let's see the outputs by video 👇 (low quality for speed loading)

If you want to do this using Pascal programming language follow our video in above 👇

That's all for now! And thank you all for read this!
and please comment your idea about the post and subscribe us on 👉YouTube👈
See you soon from another article..! 👋

How Do You Start to Programming With Pascal - Introduction to Coding

2022-05-30T02:35:00.403-07:00

Bit About The History of Pascal

A boy was born on 15 February 1934 in Switzerland named Niklaus Emil Wirth. Today we use Pascal because of him. This language is made for practice in programming with data structuring. Pascal was developed based on ALGOL 60 language. In 1970 this language was really popular in learning programming in universities and writing commercial softwares in the market.

Let's Coding With Pascal Using Your PC

First of all, we want a compiler to compile the pascal codes. There are many compilers for Pascal. Here we talk about the Lazarus Free Pascal compiler. Let's install it 3 steps.

Download Lazarus Free Pascal from the Lazarus website
Install the setup file to your computer
Customize dark mode to the source editor

Here we go...👊

1. Download Lazarus Compiler

First, you can download that from the Lazarus Website here.

2. Install Setup File

You can install the setup file as a normal installation. Anyway, we think this video helps you to install the setup file.

3. Dark mode to the Lazarus source editor

Source editor of Lazarus is manually in light mode. But we can customize it into dark mode as your choice. This short video will show you how to customize Lazarus source editor for your choice.

Setting path of customization. 👇

Tools >> Options >> Environment >> Editor >> Display >> Colors

Then you can customize source editor background texts as your choice. And also there is an preview display in other side.

Now your source editor is ready to go...

This is the first part of Pascal tutorial.

So this is the time to say Good Bye until next post. 👊

To Be Continued to next post...

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