SOLUTION: If 25X square - Y square = (5 X+1/2) ( 5 X-1/2). Find the value of Y.

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Question 1077857: If 25X square - Y square = (5 X+1/2) ( 5 X-1/2). Find the value of Y.
Found 2 solutions by jorel1380, ikleyn:
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
25x²-y²=(5x + 1/2)(5x - 1/2)
In general, x²-y²=(x+y)(x-y). So:
x=25x
y=1/2
The value of y is 1/2. ☺☺☺☺
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.
If 25X square - Y square = (5 X+1/2) ( 5 X-1/2). Find the value of Y.
~~~~~~~~~~~~~~~~~~~~~~~ 

If   = , as the condition says, then

 = .


It implies   = .


Hence,  Y = +/-.


Answer.  There are TWO solutions:  Y =  and Y = .


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