solving rational equations
DESCRIPTION
Solving Rational Equations. Example. Flashback (Lecture 3). Example Problem. Cross Multiply. Distribute Out. Solve. Recap. Add fractions to get a single denominator on each side Cross multiply to get rid of denominators Combine like terms and solve for x. WARNING. - PowerPoint PPT PresentationTRANSCRIPT
Solving Rational Equations
Example
Flashback (Lecture 3)
Example Problem
Cross Multiply
Distribute Out
Solve
Recap
• Add fractions to get a single denominator on each side
• Cross multiply to get rid of denominators• Combine like terms and solve for x
WARNING
• Whenever you multiply both sides by something with an x in it, you risk creating an extra incorrect answer.
Example 2
Recap
• Add fractions to get a single denominator on each side
• Cross multiply to get rid of denominators• Combine like terms and solve for x• Plug in and check for extra (wrong)
answers
Solve for x:
a) x = 2
b) x = 2/3
c) x = 1/2
d) x = 1
e) None of the above
Solve for x:
D) x=1
Solve for m:
a) m= k/2-1/p
b) m= (3pk)/(2p-k)
c) m= (3pk)/(k-2p)
d) m= (-3pk)/(p+k)
e) None of the choices are correct.
pmk
132
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Solving Radical Equations
dude.
Simple Example
Simple Example
Slightly more complicated example
Slightly more complicated example
Another example
Simply as much as you can BEFORE YOU SQUARE
Recap
• Simplify to get the roots by themselves – (if you can)
• Square both sides• Solve for x
Sometimes you can’t simplify first
WARNING
• Whenever you square both sides, you’re multiplying both sides by something with an x in it.
• Whenever you multiply both sides by something with an x in it, you risk creating an extra incorrect answer.
Simple Example
Slightly more complicated example
Slightly more complicated example
Recap
• Simplify to get the roots by themselves – (if you can)
• Square both sides• Solve for x• Plug in and check for extra incorrect
answers
Find the solution(s):
a) x= 121/25
b) x= 25/121
c) x=25
d) x=121
e) No solutions
xx 35
A