# Maths Video Lesson 3 Revision eNotes Worksheet and Solution

# Contents

Contents 2

3^{rd} Year Worksheet 1 and Solutions 4

Example 1 & Example 2 4

Example 3 4

Example 4 5

Example 5 & Example 6 6

Example 7 & Example 8 7

Example 9 7

Example 10 8

Example 11 8

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# 3^{rd} Year Worksheet 1 and Solutions

Now at this stage you should have watched the free Lesson 1 maths tutorial on solving quadratics and read the iRevise.com lesson 1 revision notes. We are now bringing you a worksheet and solutions.

## Example 1 Example 2

Solve 4y² 1 = 0

(2y)² (1)² =0

(2y+1)(2y-1) =0

2y+1=0 Or 2y-1=0

Y= Y=

Solve 2x² + x 3 = 0 3= 1.3

(2x+3)(x1) =0 = 1.3

2x+3=0 Or x1=0

2x=3 x=1

X=

## Example 3

Solve

(2y+3)(y+1) = (y+3)²

2y²+ 2y + 3y + 3 = y²+ 6y + 9

2y² + 5y+ 3 y² 6y 9 = 0

y² y 6 = 0

(y3)(y+2) = 0

y3 = 0 Or y+2=0

y=3 y=2

** **

## Example 4

Solve,

3x² + 5x – 12 = 0 12

(3x-4)(x+3)=0 = -1.12

3x-4=0 Or x+3= 0 = 1.12

3x=4 x=3 = 2.6

X= =2. 6

= 3.4

= 3. 4

Or

A= 3 B=5 C=-12

Or

= 0r ...