# Quadratic Equation solution activity1

From Karnataka Open Educational Resources

### Objectives

Being able to identify the roots of the quadratic equations graphically.

### Estimated Time

30 minutes

### Prerequisites/Instructions, prior preparations, if any

Knowledge about equations, linear equations, meaning of quadratic equations

### Materials/ Resources needed

- Click here to open the file

- This Geogebra file can be used to show Graph and zeroes of Quadratic polynomials.

### Process (How to do the activity)

Download this geogebra file from this link.

**Procedure:**

The general form of quadratic equation is ax²+bx+c=0,where a, b, c are known values, x is variable and a≠0.This equations can also occur in different forms such as ax²+bx=0, ax²+c=0 and ax²=0.

- Open the Geogebra file
- Start with values of b=0, c=0
- Change value of a to 1 (keeping b=0, c=0 and see what happens)
- Change value of c to 1, 2, 3 etc (keeping a=1, b=0 and see what happens)
- Change value of b to 1, 2, 3 etc (keeping a=1, c=0 and see what happens)

- In each of the above cases, discuss with students the meaning of the curve plotted and how the curve changes on change in values.
- Identify and note down the roots of the given set of values for a, b, c in quadratic equations.

### Evaluation at the end of the activity

In quadratic equations why is a≠0? What happens to the quadratic equation, if a=0?

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