![Rachaeltice8810](/avatars/17477.jpg)
Rachaeltice8810
14.06.2021 •
Mathematics
Look at attached photo
Solved
Show answers
More tips
- S Sport When will the Biathlon World Championships 2011 take place in Khanty-Mansiysk? Answers to frequently asked questions...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
Answers on questions: Mathematics
- M Mathematics How can 5/16 be written as a decimal?...
- M Mathematics The manager at Green Tee s golf course conducted a study to see how long it takes to complete a round of golf. The manager records the time it takes randomly selected golfers to finish...
- M Mathematics PLZPLZPZLPZLPZL HELP...
- M Mathematics Help please. I tried many times trying to figure this out...
- M Mathematics Let f(x)=x2+2x and g(x)=x−7. Evaluate the following: 1. (f∘g)(x) = 2. (g∘f)(x) = 3. (f∘f)(x) = 4. (g∘g)(x) =...
- M Mathematics Write a function that is flipped and translated up 5 when compared to y=x^2....
- M Mathematics In ABCD, mZB = 94º and mC = 65°. Which statement about the sides of ABCD must be true? O CD BC CD DB O DB BC CD CD DB BC DB CD BC O BC DB CD...
- M Mathematics plz help nowplz help nowplz help nowplz help nowplz help nowplz help nowplz help nowplz help nowplz help nowplz help nowplz help now...
- M Mathematics Anyone know how to do this???...
- M Mathematics What is the length of AB?...
Ответ:
Since we want to solve for the variable x, we want to isolate x
a²x + (a - 1) = (a + 1)x ⇒ Distribute x to (a+1). Also, remove parentheses
a²x + a - 1 = ax + x ⇒ Subtract a from both sides
a²x - 1 = ax + x - a ⇒ Add 1 to both sides
a²x = ax + x - a + 1 ⇒ Subtract (ax + x) from both sides
a²x - (ax + x)= ax + x - a + 1 - (ax+x) ⇒ Simplify. Remember that multiplying positive by negative = negative
a²x - ax - x = ax + x - a + 1 - ax - x ⇒ Simplify
a²x - ax - x = -a + 1 ⇒ Factor out the x from a²x - ax - x
x(a² - a - 1) = -a + 1 ⇒ Divide both sides by (a² - a - 1)
x = (-a + 1) / (a² - a - 1)
However, we need to make sure that the denominator does not equal 0. Therefore, you set the denominator = 0 (just use the quadratic formula for this), and it gives that the denominator =0 when a = (1+√5)/2 AND (1-√5)/2
Therefore, the final answer is
x = (-a + 1) / (a² - a - 1) given that a ≠ (1+√5)/2, a ≠ (1-√5)/2