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Quadratic Equations | Solutions & Properties
A complete course that leaves no stone unturned.

What you will learn

How to solve Quadratic Equations using Factorization, Completing Square Method, & Quadratic Formula

What is Descriminant and how to find Nature of roots of a Quadratic Equation

How to find a Quadratic equation using its roots

Cube roots of unity and their properties

How to solve a system of quadratic equations

How to apply quadratic in everyday word problems

Description

This course is specially designed for those students who are struggling with their math concepts specifically quadratic functions.

This course basically consists of two parts. The first part covers 3 methods of solving quadratic equation: By factorization, by completing square and by quadratic formula. This part also covers the derivation of quadratic formula using completing square method. For more understanding, I have solved exercises alongside examples. The difficulty level of equations increases from easy to medium to difficult.

In the second part, it covers the descriminant and its uses in finding out the nature of roots, cube roots of unity and related questions, making equation using roots, solving simultaneous equations involving two variables and finally everyday word problems involving quadratic equations.

The lectures start with the beginner level and gradually increase the difficulty level. All students will benefit from it. It even covers the exercises and questions which are usually left for students as home work. Most exercises have already been solved so that student does not have to be worried about their solution.


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While designing this course, this has been kept in mind that student get most out of it and doesn’t need any other help.

I hope that it exceed your expectations. I am always here to improve it. I always welcome suggestions to improve my all courses. I keep improving and keep adding the stuff required to enhance the quality of learning.

This course is intended to be bought by parents or guardians who can supervise the account.

English
language

Content

Part-1 Solving Quadratic Equations

What is in this course for you?
Introduction to the Quadratic Equations
Solving a quadratic with factorization Q-1
Solving a quadratic with factorization Q-2
Activity-Factorize
Solving a quadratic with completing square Q-1
Solving a quadratic with Completing square Q-2
Exercise-1: Convert into standard form of Quadratic
Exercise: Convert into standard form of Quadratic
Exercise-4: Convert into standard form
Exercise-1: Solve using Factorization
Exercise-2: Solve using Factorization
Exercise-3: Solve using Factorization
Exercise-4: Solve using Factorization
Exercise-5: Solve using Factorization
Exercise-6: Solve using Factorization
Exercie-1: Solve by Completing Square
Exercie-2: Solve by Completing Square
Exercie-3: Solve by Completing Square
Exercie-4: Solve by Completing Square
Exercie-5: Solve by Completing Square
Exercie-6: Solve by Completing Square
Exercie-7: Solve by Completing Square
Derivation of Quadratic Formula
Exercise-1: Solve using Quadratic Formula
Exercise-2 Solve using Quadratic Formula
Exercise-3: Solve using Quadratic Formula
Exercise-4: Solve using Quadratic Formula
Exercise-5: Solve using Quadratic Formula
Exercise-6: Solve using Quadratic Formula
Exercise-7: Solve using Quadratic Formula
Equations Reducible to Quadratic: Type-1
Question-1: Type-1
Question-2: Type-1
Question-3: Type-1
Question-4: Type-1
Question-5: Type-1
Equations Reducible to Quadratic: Type-2
Question-6: Type-2
Question-7: Type-2
Question-8: Type-2
Equations Reducible to Quadratic: Type-3
Question-10: Type-3
Question-11: Type-3
Equations Reducible to Quadratic: Type-4
Question-12: Type-4
Question-13: Type-4
Question-14: Type-4
Equations Reducible to Quadratic: Type-5
Question-15: Type-5
Question-16: Type-5
Radical Equations: Type-1
Radical Equations: Type-2
Radical Equations: Type-3
Question-1: Radical Equations
Question-2: Radical Equations
Question-3: Radical Equations
Question-4: Radical Equations
Question-5: Radical Equations
Question-6: Radical Equations
Question-9: Radical Equations

Part-II: Descriminant & Nature of roots

What is Descriminant and what are natures of roots
Find descriminant-Exercise-1
Find nature of roots -Exercise-2
For what value of k, the expression is a perfect square?
Find the value of k, for equal roots#1
Find the value of k, for equal roots#2,3
Show that this equation has equal roots only if..
Find the condition that the roots are equal.
Show that the roots are rational
Prove that roots of Quad. Eq. are real
Show that roots of Quad Eq are real.
Cube roots of Unity
Sum & Product of Cube roots of Unity
One cube roots of Unity is reciprocal of the other
Play around with cube roots of Unity