23/24 EHE L47 Yr 10 - The quadratic equation

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Lesson 47 - The Quadratic EQuation

1. What is the probability of rolling a prime number on a dice?2. How many lines of symmetry does a square have? 3. A square has an area of 36cm2, what is the side length? 4. Simplify 20z2/4 5. What is the third square number - the fourth prime number? 6. List the factors of 427. In a game, the chance of winning is 0.3 and drawing is 0.1. What is the chance of losing?8.What is 0.6 as a percentage?

Challenge

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But what happens when you can't factorise?

Some quadratic equations (got x2) can be solved by factorising. Like this one.

Solve x2 + 5x + 6 = 0

The quadratic equation

The quadratic formula

The quadratic formula

Write what A, B and C would be for each

1) x2 + 14x + 24 = 0 2) x2 + 9x + 18 = 0 3) x2 -7x + 12 = 0 4) 2x2 -10x - 21 = 0 5) 3x2 - 4x + 2 = 0 6) x2 + 2 -4x = 0 7) 1 + 2x -4x2 = 0 8) 1/3 + 2x - 0.4x2 = 0

The quadratic formula

The quadratic formula

The quadratic formula

Solve: 1) 𝑥2 - 2𝑥 - 3 = 0 2) 𝑥2 - 6𝑥 - 55 = 0 3) 2𝑥2 + 4𝑥 - 390 = 0 4) 5𝑥2 - 50𝑥 - 595 = 0 5) 𝑥2 - 7𝑥 - 15 = 0 6) 𝑥2 + 13𝑥 - 9 = 0 7) 2𝑥2 - 34𝑥 - 49 = 0 8) 3𝑥2 - 34𝑥 + 82 = 0

The quadratic formula

The quadratic formula

Solve: 1) 2𝑥2 + 4𝑥 = 7 2) 7 = 13𝑥 + 5𝑥2 3) 22𝑥2 = 6 + 15𝑥

The quadratic formula

The quadratic formula

The quadratic formula

2)

3)

1)

The quadratic formula

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

Simultanous equations

Past paper questions

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing