Please include the instructions; I assume your job is to find the value of x.
<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
1 1 1
</span><span>-------- - ------------ = ----
x+1 x+2 2
Identify the LCD. It is (x+1)(x+2)(2). Mult. all 3 terms of the equation by this LCD:
2(x+2) - 2(x+1) = 2(x+1)(x+2)
We can factor out the 2 from all terms:
x+2 - x - 1 = x^2 + 3x + 2
Let's move all terms from the left to the right side:
0 = x^2 + 3x + 2 - x - 2 + x + 1
Then x^2 + 3x + 1 = 0. This is a quadratic with a=1, b=3 and c=1.
What is x?
-3 plus or minus sqrt( 9-4(1)(1) ) -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
2 2
I rather expected to obtain an integer value for x.
Why don't you give this problem a try yourself? Suggestion: First mult. every term by 2. This will give you:
2 2
------- - ------- = 1 and this may be slightly easier to work with. Please
x+1 x+2 give it a try: try to find x that satisfies this equation.
Important: note that x cannot equal either -1 or -2.
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I’m not sure but if I’m right Jen it will be 1 two dollar toy and 5 five dollar toy
Answer:
I think its linear so I dont know 100% but I think it's a sorry if I'm wrong
<span>X + 1.5 ≤ 5
X ≤ 3.5
"Julia is allows to watch no more than 5 hours of television"
X ≤ 5
"She has watched 1.5 hours"
X + 1.5 ≤ 5
So the inequality to solve is:
X + 1.5 ≤ 5
Now to solve it, just subtract 1.5 from both sides:
X + 1.5 ≤ 5
X + 1.5 - 1.5 ≤ 5 - 1.5
X ≤ 3.5
So Julia can watch up to 3.5 more hours of TV this week.</span>
Answer: 3
Step-by-step explanation: the answer is 3 believe me