Chapter 13, of lesson 5-Question 15.
We cannot seem to get the correct answer. We are doing the steps, but the book does not explain thoroughly. We've listened to the streaming for this lesson.
Chapter 13, of lesson 5-Question 15.
We cannot seem to get the correct answer. We are doing the steps, but the book does not explain thoroughly. We've listened to the streaming for this lesson.
-Amy
Nine babies, 6 graduated, 5 married, 14 grand babies 5 and under!
2018-19 MP 1st, 4A, 9M and MPOA, College student. Starting 6th year using Memoria Press
Executive Director of Coop 412, a Classical, MP based Coop based on Ephesians 4:12
Hi Amy,
You are asking about 13.5, #15? To solve this rational equation, you will want to multiply by the least common denominator (of all the denominators). To determine LCD, factor the 2nd denominator: (t-3)(t+3). Since the 1st denominator is (t-3), the LCD is (t-3)(t+3). Multiply both sides of the equation by LCD, which yields:
5(t+3)-30 = (t-3)(t+3)
Now multiply out, combine like terms and simplify, putting all non-zero terms on left-hand side:
t^{2}-5t+6 = 0
Factor and find two possible solutions for t: t=2 and t=3. Since t=3 would cause original equation to have denominator of zero (cannot divide by zero), the only solution to this equation is t=2. Check by substituting.
Hope this helps!
Last edited by Cindy in Indy; 09-26-2017 at 05:57 PM.
Cindy Davis
Science and Math teacher at Highlands Latin School - Indianapolis
ds-24 college graduate: working, reading, writing
ds-22 college graduate: Biology/German double-major; off to podiatry school!
dd-20 college junior: Nursing
Thank you so much! It helped her, got another question for you.
Lesson 13-5, question 31. I got the answer 10,-2 and then I used the quadratic formula and still turned out with 10,-2. I looked up the answer and it was 0.5. Would love any help on this! This is Mercy, Amy's daughter.
-Amy
Nine babies, 6 graduated, 5 married, 14 grand babies 5 and under!
2018-19 MP 1st, 4A, 9M and MPOA, College student. Starting 6th year using Memoria Press
Executive Director of Coop 412, a Classical, MP based Coop based on Ephesians 4:12
For 13.5, #31, you should multiply both sides by the LCD, which is (x-3)(x+3).
When you multiply both sides by that LCD, you get 2(x-3)+5=0.
This is a linear equation (does not need the quadratic formula to solve) and can be solved like any linear equation:
2x-6+5=0 --> 2x=1 --> x = 1/2
This satisfies the original equation, so it is a valid solution.
Last edited by Cindy in Indy; 10-04-2017 at 08:26 PM.
Cindy Davis
Science and Math teacher at Highlands Latin School - Indianapolis
ds-24 college graduate: working, reading, writing
ds-22 college graduate: Biology/German double-major; off to podiatry school!
dd-20 college junior: Nursing
-Amy
Nine babies, 6 graduated, 5 married, 14 grand babies 5 and under!
2018-19 MP 1st, 4A, 9M and MPOA, College student. Starting 6th year using Memoria Press
Executive Director of Coop 412, a Classical, MP based Coop based on Ephesians 4:12
Cindy, thank you for helping Mercy! I am so far gone from Algebra these days. All extra brain cells seem to be focused on Latin . My college niece and husband both were failing as well.
Be blessed busy math teacher extrodinaire!
-Amy
Nine babies, 6 graduated, 5 married, 14 grand babies 5 and under!
2018-19 MP 1st, 4A, 9M and MPOA, College student. Starting 6th year using Memoria Press
Executive Director of Coop 412, a Classical, MP based Coop based on Ephesians 4:12
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