Question 1134882
The difference between a number and its reciprocal is 3/2.  Find the number.
<pre>Let the number be N
Then we get: {{{matrix(1,3, N - 1/N, "=", 3/2)}}}
{{{matrix(1,3, 2N^2 - 2, "=", 3N)}}} -------- Multiplying by LCD, 2N
{{{matrix(1,3, 2N^2 - 3N - 2, "=", 0)}}} ----- Subtracting 3N
(N - 2)(2N + 1) = 0
N - 2 = 0               OR      2N + 1 = 0
Number, or {{{highlight_green(system(matrix(1,3, N, "=", 2), OR, matrix(1,3, N, "=", - 1/2)))}}} 

**CHECK: {{{system(matrix(1,9, N, "=", 2, "========>", 2 - 1/2, "=", 1&1/2, or, 3/2), AND, matrix(1,11, N, "=", - 1/2, "======>", - 1/2 - - 2, "=", - 1/2 + 2, "=", 1&1/2, or, 3/2))}}}