SOLUTION: I have 3 questions that are all similar. I know the answers, but I REALLY need help getting the answers.... Pick any of them and help me solve, please! (Ps. I'm not asking any othe

Algebra ->  Rational-functions -> SOLUTION: I have 3 questions that are all similar. I know the answers, but I REALLY need help getting the answers.... Pick any of them and help me solve, please! (Ps. I'm not asking any othe      Log On


   

Question 526746: I have 3 questions that are all similar. I know the answers, but I REALLY need help getting the answers.... Pick any of them and help me solve, please! (Ps. I'm not asking any others, so I'm not breaking the "5 questions a day" policy)
(n+12)-(n)>2
3x+5=x(3)
(h+3)+(h-1)=5
Also, the boxes represent "Square Root Of", which end when the parenthesis close.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


sqrt%28n%2B12%29-sqrt%28n%29%3E2


sqrt%28n%2B12%29%3Esqrt%28n%29%2B2


%28sqrt%28n%2B12%29%29%5E2%3E%28sqrt%28n%29%2B2%29%5E2


n%2B12%3E%28sqrt%28n%29%2B2%29%5E2


n%2B12%3En%2B4%2Asqrt%28n%29%2B4


n%2B12-n-4%3E4%2Asqrt%28n%29


8%3E4%2Asqrt%28n%29


4%2Asqrt%28n%29%3C8


sqrt%28n%29%3C8%2F4


sqrt%28n%29%3C2


%28sqrt%28n%29%29%5E2%3C%282%29%5E2


n%3C4


Since we have sqrt%28n%29, this means that n%3E=0 (to avoid taking the square root of a negative number)


Since n%3C4 as well, we can combine these two inequalities to get the compound inequality:

0%3C=n%3C4

which is our answer.



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# 2

3x%2B5+=+x%2Asqrt%283%29


5+=+x%2Asqrt%283%29-3x


5+=+x%2A%28sqrt%283%29-3%29


5%2F%28sqrt%283%29-3%29+=+x


x+=+5%2F%28sqrt%283%29-3%29


x+=+%285%28sqrt%283%29%2B3%29%29%2F%28%28sqrt%283%29-3%29%28sqrt%283%29%2B3%29%29


x+=+%285sqrt%283%29%2B15%29%2F%283-9%29


x+=+%285sqrt%283%29%2B15%29%2F%28-6%29


x+=+-%285sqrt%283%29%2B15%29%2F%286%29

=======================================================

# 3


sqrt%28h%2B3%29%2Bsqrt%28h-1%29=5


sqrt%28h%2B3%29=5-sqrt%28h-1%29


%28sqrt%28h%2B3%29%29%5E2=%285-sqrt%28h-1%29%29%5E2


h%2B3=%285-sqrt%28h-1%29%29%5E2


h%2B3=25-10sqrt%28h-1%29%2Bh-1


h%2B3=24-10sqrt%28h-1%29%2Bh


h%2B3-24-h=-10sqrt%28h-1%29


-21=-10sqrt%28h-1%29


%28-21%29%5E2=%28-10sqrt%28h-1%29%29%5E2


441=100%28h-1%29


441=100h-100


441%2B100=100h


541=100h


541%2F100=h


h=541%2F100


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Jim