Three positive numbers x, y, and z have the following relationships y = ... ...
Three positive numbers
x, y, and
z have the following relationships
y =
x + 2 and
z =
y + 2. When the median of
x, y, and
z is subtracted from the product of the smallest number and the median, the result is 0. What is the value of the largest number?
(A) –2
(B) ...
(C) ...
(D) ...
(E) ...
*This question is included in
Nova Math - Problem Set AA: Probability & Statistics
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Posted: 07/26/2012 03:24
Please I don't understand how you factories x(x+2)-(x+2)=0 to get (x+2)(x-1)=0. Please can you explain to me.
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Posted: 07/26/2012 03:36
x(x+2)-(x+2)
Use distributive property
Think of (x+2) like y
xy - y = y (x-1), right? Same thing.
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Posted: 07/31/2012 18:38
I am still confused on the factoring out the common factor x+2 yields (x+2)(x-1)=0
Could you slow that down and show how to factor out step by step?
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Posted: 07/31/2012 19:07
Katie, step by step below
x(x+2) - (x+2) = 0
Let's suppose (x+2) is y. Substitute y for x+2 into the equation:
xy - y = 0. Now, factor out y
y(x-1) = 0. Since y=x+2, substitute x+2 back in.
(x+2) (x-1) = 0
I hope this helps.
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Posted: 10/04/2012 11:18
firstly can easily find smallest number。median-median*smallest=0，so smallest x=1 or 0，because xyz are positive，then x=1。then。。。
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Posted: 10/04/2012 15:04
Thank you for your post, Zhang Bo.
