1. Solve example 2 of the rational equation by following the given steps. Example 1 1. +. 25 Example 2 2. X-3 1 Rational Equation x2 x+5 (x-5) x2-1 X-1 1. Find the Least LCD: Common Deominator (+5)(*-5) (LCD). 2. Multiply both sides of the equation by its the X-3 (x+5)(x-5)[- x-25 X+5 1 LCD. (x-5) 3. Apply the Distributive Property and then simplify. (x- 3) + 1(x-5) = 1(x +5) x -3+ x-5 =x+5 simplify: 2x-8=x+5 2x x 8+5 x = 13 4. Find all the possible X = 13 values of x. 5. Check each value by Checking: 1 X-3 1 substituting into original equation and reject any extraneous root/s x2-25 x+5 (x-5) 13 3 1. 1 132 - 25 (13-5) 1 13+5 10 8. 169 - 25 18 1 10 %3D 144 18 8. 10 + 8 1 %3D 144 8. 1 1 %3D 8. 8. Note: No extraneous root
1. Solve example 2 of the rational equation by following the given steps. Example 1 1. +. 25 Example 2 2. X-3 1 Rational Equation x2 x+5 (x-5) x2-1 X-1 1. Find the Least LCD: Common Deominator (+5)(*-5) (LCD). 2. Multiply both sides of the equation by its the X-3 (x+5)(x-5)[- x-25 X+5 1 LCD. (x-5) 3. Apply the Distributive Property and then simplify. (x- 3) + 1(x-5) = 1(x +5) x -3+ x-5 =x+5 simplify: 2x-8=x+5 2x x 8+5 x = 13 4. Find all the possible X = 13 values of x. 5. Check each value by Checking: 1 X-3 1 substituting into original equation and reject any extraneous root/s x2-25 x+5 (x-5) 13 3 1. 1 132 - 25 (13-5) 1 13+5 10 8. 169 - 25 18 1 10 %3D 144 18 8. 10 + 8 1 %3D 144 8. 1 1 %3D 8. 8. Note: No extraneous root
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:1. Solve example 2 of the rational equation by following the given steps.
Example 1
Example 2
2.
X-3
1
1
1.
Rational Equation
x-25
x+5
(x-5)
x2-1
X-1
2.
1. Find the Least
LCD:
Common Denominator
(LCD).
2. Multiply both sides of
the equation by its the
X-3
(x +5)(x-5)[-
x'-25
X+5
(x-5)
(x-3) + 1(x-5) = 1(x +5)
X-3+x-5=x+5
LCD.
3. Apply the Distributive
Property and then
simplify.
%3D
simplify:
2x -8=x+5
2x-x 8+5
x = 13
4. Find all the possible
X = 13
values of x.
5. Check each value by
Checking:
X-3
1
1
substituting into original
equation and reject any
root/s
%3D
x-25
x + 5
(x-5)
13-3
1
anec
%3D
(13 5)
13 +5
1
132
25
10
%3D
169 - 25
18
8.
10
1
%3D
18
8.
10 +8
144
144
8.
1
1
8.
Note: No extraneous root
Transcribed Image Text:2. Solve example 2 of rational inequality. You can refer to example 1 for the guided
steps.
Example 1
3.
<-1
Example 2
3x + 1
Rational Inequality
X-2
X - 1
1. Put the rational inequality
in general form.
3.
ーz+1s0
R(x)
x - 2
Q(x)
where > can be replaced
by <,< and N
2. Write the inequality into a
single rational expression
on the left side. (You can
3+1(x- 2)
X- 2
8.
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