jayanti wrote:a positive integer x is multiplied by 2 and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x
positive integer x is multiplied by 2 --> 2x
this product is then divided by 3 --> 2x/3
the positive square root of the result of these two operations equals x --> root[2x/3] = x
To solve for x, first square both sides --> 2x/3 = x^2
Multiply both sides by 3 --> 2x = 3x^2
This is a quadratic equation, so set the equation equal to zero --> 3x^2 - 2x = 0
Factor --> x(3x - 2) = 0
This means either x = 0 or 3x-2 = 0
x = 0 cannot be a solution since we are told that x is a
positive integer
If 3x-2 = 0 then x = 2/3, but this cannot be a solution either since we are told that x is a positive
integer
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