Difference between revisions of "Quadratic Equations"
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[https://youtu.be/zvJ9COAfsxE/ Session # 10] : Solved Example # 7 : Solving a Quadratic Equation using factorisation method | [https://youtu.be/zvJ9COAfsxE/ Session # 10] : Solved Example # 7 : Solving a Quadratic Equation using factorisation method | ||
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| + | ==Concept Lectures== | ||
| + | [https://youtu.be/L1xUtA04m8g/ Session # 11] : Solving Quadratic Equations by Completing the Square Method | ||
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| + | ==Solved Examples== | ||
| + | [https://youtu.be/w11VluqLyOs/ Session # 12] : Solved Example # 8 : Solving a Quadratic Equation using Completing the Square Method | ||
| + | |||
| + | ==Concept Lectures== | ||
| + | [https://youtu.be/A9vTqXVSdMs/ Session # 13] : Shridharacharya's Method of solving Quadratic Equation | ||
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| + | ==Solved Examples== | ||
| + | [https://youtu.be/Lnor5GuKSNA/ Session # 14] : Solved Example # 9 : Solving a Quadratic Equation using Sridharacharya's Method | ||
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| + | [https://youtu.be/pKPQRPzzLb8/ Session # 15] : Solved Example # 10 : Solving a Quadratic Equation using Sridharacharya's Method | ||
| + | |||
| + | ==Concept Lectures== | ||
| + | [https://youtu.be/VbcU7BepOig/ Session # 16] : Nature of roots of a Quadratic Equation | ||
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| + | ==Solved Examples== | ||
| + | [https://youtu.be/AB-iDZH8pzY/ Session # 17] : Solved Example # 11 : Finding the nature of roots of a quadratic equation | ||
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| + | [https://youtu.be/zjcsdLYXIPg/ Session # 18] : Solved Example # 12 : Finding the nature of roots of a quadratic equation | ||
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| + | [https://youtu.be/nEgZO6winFE/ Session # 19] : Solved Example # 13 : Problem based on the nature of roots of a quadratic equation | ||
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| + | [https://youtu.be/a630xfmAAKQ/ Session # 20] : Solved Example # 14 : Problem based on the nature of roots of a quadratic equation | ||
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| + | [https://youtu.be/0Ys9TGJfkwY/ Session # 21] : Solved Example # 15 : Problem based on the nature of roots of a quadratic equation | ||
| + | |||
| + | ==Additional Topics== | ||
| + | Following sessions can be utilised to gain additional knowledge in quadratic equations. | ||
| + | |||
| + | [https://youtu.be/iujkz9oxxmA/ Session # 22] A Quadratic Equation can not have more than two roots | ||
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| + | [https://youtu.be/ztpeiuEfqYc/ Session # 23] Relation between Sum and Product of roots and coefficients of a quadratic equation. | ||
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| + | [https://youtu.be/z2-72sOp0ow/ Session # 24] Solved Example: # 16 Relation between Sum and Product of roots and coefficients of a quadratic equation. | ||
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| + | [https://youtu.be/ZrW5VIiu3tY/ Session # 25] Condition for a Quadratic Equation to have roots (A) Equal in magnitude and opposite in sign & (B) Reciprocal to each other | ||
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| + | [https://youtu.be/oaSpsxKu7l0/ Session # 26] Relation between the signs of the value of a quadratic polynomial and the sign of the coefficient of x^2 | ||
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| + | [https://youtu.be/6NTPyVn3yAA/ Session # 27] Proof of : Relation between the signs of the value of a quadratic polynomial and the sign of the coefficient of x^2 | ||
| + | |||
| + | ==Solved Examples== | ||
| + | [https://youtu.be/7uTChVNNyqg/ Session # 28] Solved Example: # 17 Solving equations which are not in quadratic form by converting them into a quadratic equation. | ||
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| + | [https://youtu.be/PJNeRKNVuCc/ Session # 29] Solved Example: # 18 Solving equations which are not in quadratic form by converting them into a quadratic equation. | ||
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| + | [https://youtu.be/VzTRdae1bIo/ Session # 30] Solved Example: # 19 Solving equations which are not in quadratic form by converting them into a quadratic equation. | ||
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| + | [https://youtu.be/oYslKxjHuCw/ Session # 31] Solved Example: # 20 Solving equations which are not in quadratic form by converting them into a quadratic equation. | ||
| + | |||
| + | [https://youtu.be/A8hwbi_6H_w/ Session # 32] How to find out the value of infinitely extending nested radicals by using a quadratic equation. | ||
Latest revision as of 09:41, 15 August 2019
Quadratic Equation is an important topic in high-school curriculum. It is a vital Mathematical tool to understand various other fields of Science and Engineering especially Physics and Chemistry. Go through the following series of Lectures and Problem Solving Sessions to get a thorough grip over the subject matter.
Contents
Concept Lectures
Session # 1 : Introduction. What are Quadratic Equations? Why are quadratic equations called so? General form of quadratic equations.
Session # 2 : What is meant by solutions/roots of a quadratic equation? How to check if a given value is a root of a quadratic equation?
Solved Examples
Session # 3 : Solved Example # 1 : On verifying if the given values are solutions of a given quadratic equation.
Session # 4 : Solved Example # 2 : Finding coefficients if solution to a quadratic equation is given.
Concept Lectures
Session # 5 : Factorisation Method of solving Quadratic Equations
Solved Examples
Session # 6 : Solved Example # 3 : Solving a Quadratic Equation using factorisation method
Session # 7 : Solved Example # 4 : Solving a Quadratic Equation using factorisation method
Session # 8 : Solved Example # 5 : Solving a Quadratic Equation using factorisation method
Session # 9 : Solved Example # 6 : Solving a Quadratic Equation using factorisation method
Session # 10 : Solved Example # 7 : Solving a Quadratic Equation using factorisation method
Concept Lectures
Session # 11 : Solving Quadratic Equations by Completing the Square Method
Solved Examples
Session # 12 : Solved Example # 8 : Solving a Quadratic Equation using Completing the Square Method
Concept Lectures
Session # 13 : Shridharacharya's Method of solving Quadratic Equation
Solved Examples
Session # 14 : Solved Example # 9 : Solving a Quadratic Equation using Sridharacharya's Method
Session # 15 : Solved Example # 10 : Solving a Quadratic Equation using Sridharacharya's Method
Concept Lectures
Session # 16 : Nature of roots of a Quadratic Equation
Solved Examples
Session # 17 : Solved Example # 11 : Finding the nature of roots of a quadratic equation
Session # 18 : Solved Example # 12 : Finding the nature of roots of a quadratic equation
Session # 19 : Solved Example # 13 : Problem based on the nature of roots of a quadratic equation
Session # 20 : Solved Example # 14 : Problem based on the nature of roots of a quadratic equation
Session # 21 : Solved Example # 15 : Problem based on the nature of roots of a quadratic equation
Additional Topics
Following sessions can be utilised to gain additional knowledge in quadratic equations.
Session # 22 A Quadratic Equation can not have more than two roots
Session # 23 Relation between Sum and Product of roots and coefficients of a quadratic equation.
Session # 24 Solved Example: # 16 Relation between Sum and Product of roots and coefficients of a quadratic equation.
Session # 25 Condition for a Quadratic Equation to have roots (A) Equal in magnitude and opposite in sign & (B) Reciprocal to each other
Session # 26 Relation between the signs of the value of a quadratic polynomial and the sign of the coefficient of x^2
Session # 27 Proof of : Relation between the signs of the value of a quadratic polynomial and the sign of the coefficient of x^2
Solved Examples
Session # 28 Solved Example: # 17 Solving equations which are not in quadratic form by converting them into a quadratic equation.
Session # 29 Solved Example: # 18 Solving equations which are not in quadratic form by converting them into a quadratic equation.
Session # 30 Solved Example: # 19 Solving equations which are not in quadratic form by converting them into a quadratic equation.
Session # 31 Solved Example: # 20 Solving equations which are not in quadratic form by converting them into a quadratic equation.
Session # 32 How to find out the value of infinitely extending nested radicals by using a quadratic equation.
