Solution Of A Quadratic Equation By Completing The Square
Chapter Name : Quadratic Equations |
Sub Topic Code : 104_10_04_04_01 |
Topic Name : Solution Of A Quadratic Equation By Completing The Square |
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Sub Topic Name : Solution Of A Quadratic Equation By Completing The Square |
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Introduction
Quadratics Equations are a useful tool to solve problems in two degrees and their factors help us to solve them for solutions of various problems directly associated with real life. In this method of finding the solution of the equation we form the perfect square on the LHS.
Pre-Requisites:
What are quadratic Equations? How to find the factors of a quadratic equation?
Activity:
Find the roots of the equation 5x2 – 6x – 2 = 0 by the method of completing the square.
Real Life Question:
The product of Sunita’s age (in years) two years ago and her age four years from now is one more than twice her present age. What is her present age?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Root of a Quadratic Equation | A real number ? is called the root of the quadratic equation ax2+bx+c=0, a?0 if a?2+b?+c=0. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
Solving problems involving acceleration of a moving body. Bernoulli’s Theorem and Schrödinger’s equation are examples of quadratic equations.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| 1. Newton’s second law of motion. | S=ut+1/2 at2, this law of motion is infact a quadratic equation in time. |
What you learn in Theory:
What are the roots/zeroes of a quadratic equation. What are the factors of quadratic equation?
What you learn in Practice:
An intro on how to find the roots of the quadratic equation by completing the square.