Equations That Become Quadratic
Presentation
•
Mathematics
•
9th Grade
•
Medium
Vanessa Espartero
Used 19+ times
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12 Slides • 3 Questions
1
Equations That Become Quadratic
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Objective:
1. Solve equations transformable to quadratic equations
(including rational and algebraic equations).
3
Take note of the following:
> The solutions of rational equations that are transformable into quadratic equations can be determined using the CRAM method and the different methods of solving quadratic equations.
> Equations that are quadratic in form or reducible to quadratic equations can be solved using any appropriate method in solving quadratic equations.
4
The CRAM Method
C - Clear all fractions by multiplying both sides of the equation in one variable by the LCD.
R - Remove all grouping symbols, if necessary.
A - Add or subtract similar terms.
M - Multiply or divide both sides by the numerical coefficient of the variable, leaving the variable on the LHS of the equation with a coefficient equal to 1. Then, verify or check if the values of the variable satisfy the given equation.
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6
7
8
9
Brain Break:
10
11
12
Multiple Choice
True or False.
The LCD of the equation x − 1x−x3= 6 is x(x - 1).
True
False
13
Multiple Choice
What is the LCD of the equation (3x + 2)22 + 3x + 21 − 3 = 0 ?
3x + 2
(3x + 2)2
(3x + 2)(3x + 2)2
3(3x + 2)
14
Multiple Choice
Find the solution set of x1+2x6= x
±7
±5
±4
±2
15
Worktext Reference
Oronce O.A., Mendoza M.O. (2019). E-Math Worktext in Mathematics 9, Manila, Philippines: REX Bookstore Inc.
Reference:
Albay E.M., Oli M.C. (2018). Practical Math 9, Makati City, Philippines: Diwa Learning Systems Inc.
Equations That Become Quadratic
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