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marissa [1.9K]
3 years ago
5

Help me solve what is the value of x

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Check the picture below.

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I have the answer, 2-(3/x+2)
Marat540 [252]

Start with the answer format we want, and work your way toward forming a single fraction like so

a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\

Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.

Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.

So, 4+b = 1 leads to b = -3

Therefore, a = 2 and b = -3

------------------------------------------------

An alternative route:

\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\

I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.

------------------------------------------------

Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.

3 0
3 years ago
Read 2 more answers
Greatest common factor of 2, 15 , 6
ratelena [41]

Answer:Gcf=1.

Step-by-step explanation:                                                                               The factors of 2 are: 1, 2 .

The factors of 6 are: 1, 2, 3, 6 .

The factors of 15 are: 1, 3, 5, 15.

3 0
3 years ago
Whats the pattern of -128 , 64, -32, 16
svetlana [45]
I'm pretty sure the pattern is ÷-2
7 0
4 years ago
The ratio of the number of male lions to female lions in the animal reserve is 21:20. If there are 123 lions in the animal reser
Vanyuwa [196]
21 + 20 = 43

Total is 123, so divide by 43.

123/43 = 2.86 rounded to 3.

(females) 20 x 3 = 60 female lions 
7 0
3 years ago
Which fraction and decimal forms match the long division problem ?
Vlada [557]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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