Question 1077857
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If 25X square - Y square = (5 X+1/2) ( 5 X-1/2). Find the value of Y.
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If  {{{25X^2 - Y^2}}} = {{{(5X+1/2)*(5X-1/2)}}}, as the condition says, then

{{{25X^2 - Y^2}}} = {{{25X^2 - (1/2)^2}}}.


It implies  {{{Y^2}}} = {{{(1/2)^2}}}.


Hence,  Y = +/-{{{1/2}}}.


<U>Answer</U>.  There are TWO solutions:  Y = {{{1/2}}} and Y = {{{-1/2}}}.
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