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How to Solve a Rational Equation – example 2 1.Consider the Problem. 2.Factor the denominators – not the numerators. 3.State the LCD and restrictions.

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Presentation on theme: "How to Solve a Rational Equation – example 2 1.Consider the Problem. 2.Factor the denominators – not the numerators. 3.State the LCD and restrictions."— Presentation transcript:

1 How to Solve a Rational Equation – example 2 1.Consider the Problem. 2.Factor the denominators – not the numerators. 3.State the LCD and restrictions. 4.Clear the denominators. 5.Distribute. 6.Solve. 7.Check solution in the original problem. 8.State your conclusion. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

2 Warning – To succeed at solving these problems, you must be able to solve problems on your own. This means: a.) No notes. b.) No calculator. c.) No tutor or friend. To accomplish this, you must be able to perform each step prior to seeing it carried out. So, after you think you understand the process, try another problem. Rather than looking at this example to direct you, look at it to check your progress and understanding. Good luck and enjoy some fun problems. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

3 Step 1: Consider the problem. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

4 Step 2: Factor the denominators – not the numerators. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

5 Step 3: State the LCD and restrictions. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page Given this LCD, we have the restrictions:

6 Step 4: Clear the denominators. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

7 Step 5: Distribute. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

8 Step 6: Solve. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page x =  3 or x = 1

9 Step 7: Check your solutions in the original equation. Check True False home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page But this gives places a “0” in the denominator and so it is false. Oh yes, x = 1 was a value we ruled out with our restrictions.

10 Step 8: State your conclusion. The solution to the problem below: is: Note: Checking your restrictions can save some time while still ensuring an accurate check – provided your algebra is right. home page of … dusty wilsonhome page of … dusty wilson Math 115 home pageMath 115 home page

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