Quadratic Equations
Chapter Name : Quadratic Equations |
Sub Topic Code : 104_10_04_02_01 |
Topic Name : Quadratic Equations |
|
Sub Topic Name : Quadratic Equations |
|
Introduction
What is a quadratic equation?
Pre-Requisites:
Basic knowledge on polynomials.
Activity:
Note that any two quadratic polynomials equated, and such that both have the same coefficient of x^2, does not form a quadratic equation, example: x^2+2x+5=x^2+5x+6, both LHS and RHS are quadratic polynomials with same x^2 coeff. Taking LHS to RHS we have 3x+1=0, which doesn’t form a quadratic equation. ^ is raised to power. a^3=a*a*a.
Real Life Question:
Ravi and Rajesh are two friends. Initially they had 10 chocolates. But they don’t remember how many they had each. They both ate 2 chocolates, now the product of their number of chocolates is 8; find out how many each had in the first?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Quadratic polynomial | Polynomial of the form ax2+bx+c, a?0. |
| Quadratic equation | Quadratic polynomial equated to 0. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Equate 2 quadratic polynomials and find whether it forms a quadratic equation | Equate 2 quadratic equations and by shifting the terms from one side to other find whether it forms a quadratic equation or not. |
Real life uses :
Finding of unknown lengths when areas are given.
Practical examples around us
| Examples | Explainations |
|---|---|
| Cost of each toy if 10-x, where x is no. of toys, if the total cost is 25, how many toys are there? | (10-x)x=25?10x-x^2=25?x^2-10x+25=0?quadratic equation. |
What you learn in Theory:
Any quadratic polynomial equated to 0 is a quadratic equation.
What you learn in Practice:
Quadratic equation uses.