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Question

The roots of the equation 32x10.3x+9=0 are


  1. 1,2

  2. 0,2

  3. 0,1

  4. 1,3


Solution

The correct option is B

0,2


Given equation is 32x10.3x+9=0 can be written as

Let a = 3x, then it reduces to the equation

a210a+9=0 ⇒ (a - 9)(a - 1) = 0 ⇒ a = 9, 1

Now a = 3x ⇒ 9 = 3x ⇒ 32 = 3x ⇒ x = 2

and 1 = 3x ⇒ 30 = 3x ⇒ x = 0

Hence roots are 0, 2

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