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The non zero root of the equation 32x+9=10.3x is :-

a) a +ve fraction

b) a -ve fraction

c) a +ve integer

d) a -ve integer

The given equation is,32x + 9 = 10. 3xput 3x  = y, then equation becomes,        y2 + 9 - 10 y = 0⇒y2 - 10y + 9 = 0⇒y2 - 9y - y + 9 = 0⇒y(y - 9) - 1(y - 9) = 0⇒(y - 1) (y - 9) = 0⇒y = 1   or   y = 9WHEN y = 1 :      3x = 1⇒3x = 30⇒x = 0WHEN y = 9      3x = 9⇒3x = 32⇒x = 2
So, the non zero root of the equation is 2 that is a positive integer.
 

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