1.

If mean - proportional of (x - 2) and (x - 3) be x, then the value of x is _________ .

Answer» The mean- proportional of (x -2) and (x - 3) is x.
` :. ` by definition , ` (x -2)/x = x/(x -3)`
or, ` x^(2) - 2x - 3x + 6 = x^(2)`
or, ` -5x + 6 = 0 " or, " -5x = - 6`.
or, ` x = (-6)/(-5) " or, " x = 6/5 = 1 1/5`
Hence the value of x is ` underline (1 1/5)`.


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