86 Equations that contain one or more rational expressions are called rational equations Multiply each term on both sides of the equations by the LCD of the terms Simplify and solve the resulting polynomial ID: 829996
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Slide1
Solving Rational Equations
8.6
Slide2Equations that contain one or more rational expressions are called rational equations.
Multiply each term on both sides of the equations by the LCD of the terms.
Simplify and solve the resulting polynomial.
Always check answers for extraneous solutions!!
Slide3Example 1:
Solve
. Check your solution.
Example 2:
Solve
Example 3
Solve
. Check your solution.
Example
4:
Solve.
Example 5: Solve.
Example 6: Solve and Check.
Slide9Example 7: Solve and check.
Slide10Example 8: Solve and check.
Slide11Example 9:
Aaron
adds an 80% brine (salt and water) solution to 16 ounces of solution that is 10% brine. How much of the solution should be added to create a solution that is 50% brine?
Slide12Example 10:
Janna
adds a 65% base solution to
13 ounces of solution that is 20% base. How much of the solution should be added to create a solution that is 40% base?
Slide13Example 11
Wuyi
and
Uima
mow lawns together. Wuyi working alone could complete a particular job in 4.5 hours, and Uima could complete it alone in 3.7 hours. How long does it take to complete the job when they work together?
Example 12
Adriana and Monique paint rooms together. Adriana working alone could complete a particular job in 6.4 hours, and Monique could complete it alone in 4.8 hours. How long does it take to complete the job when they work together?
Slide15Exit Slip
Solve
. Check your solution.