Download Quadratic Equations

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LESSON 14
Quadratic Equations
MPM2D | MCR3U
IB MYP 5 MATHEMATICS EXTENDED
IB CONTENTS
LESSON PLAN
Algebra
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Pearson
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3.01
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Quadratic equations.
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Null Factor Law
Solutions Using Factors
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ONTARIO EXPECTATIONS
MPM2D
Quadratic Relations
TEXTBOOK
Prepared by Dr. Benedict Hung
Pearson
Pg. 69 – Pg. 71
KEY TERMS
linear equation, quadratic
equation, solutions
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null factor law
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FORMULAE & STATEMENTS
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ax  b  0
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ax  bx  c  0
if ab  0 then a  0 or b  0
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Solve for x :
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Quadratic equations may have two, one or zero real solutions.
 x k
if k  0
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If x  k , then 
x0
if k  0 .
no real solution if k  0
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Steps for solving quadratic equations:
1. If necessary, rearrange the equation so one side is zero.
2. Fully factorise the other side (usually the LHS).
3. Use the Null Factor law.
4. Solve the resulting linear equations.
5. Check at least one of your solutions.
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2 x 2  1  15
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x  22  11
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x  43x  7  0
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x 2  3x
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x 2  3 x  28
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5 x 2  3x  2
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Solve
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Prepared by Dr. Benedict Hung
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Solve for x :
3 x  x  5  0
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x5 9x
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ASSIGNMENT
Pearson
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Pg. 70 # { 1, 2, 3, 4 } acegikmoq
IB MYP 5 Mathematics Extended  MPM2D  MCR3U  Unit 2 – Equations and Inequalities