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# Section 8e - Quadratic Equations PowerPoint PPT Presentation

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section 8e - Quadratic Equations. Solving Quadratic Equations. a x 2 + c = 0.

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#### Presentation Transcript

Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

## Section 8e - Quadratic Equations

ax2 + c = 0

isolate the squared term

take the square root of both sides

consider 

solve

1) 2x2+ 1 = 15

• 2 – 3x2 = 8

### Solve for x

• (x – 3)2 = 16

• (x + 2)2 = 11

### Solve for x

• 3x(x – 5) = 0

• (x – 4)(3x + 7) = 0

ax2 + c = 0

ax2 + bx = 0

isolate the squared term

take the square root of both sides

consider 

solve

set equal to zero

factor out the GCF

use the zero product property

solve

### Solve for x

• x2= 3x

• 2x2+ 8x = 0

ax2 + c = 0

ax2 + bx = 0

ax2 + bx + c = 0

set equal to zero

factor out the GCF, if possible

factor

use the zero product property

solve

isolate the squared term

take the square root of both sides

consider 

solve

set equal to zero

factor out the GCF

use the zero product property

solve

• x2= x + 30

• 3x2= 4x – 1

### Solve for x

• 12x2 – 5x = 2

### Homework

• Exercise 8E.1, pg255

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• Exercise 8E.2, pg 257

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• Exercise 8E.3, pg 257

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