Question

If 32x + 1– 3x= 3x + 3– 32, then values of x are:

A 1 and 2 Correct Answer Incorrect Answer
B -1 and 3 Correct Answer Incorrect Answer
C 2 and 3 Correct Answer Incorrect Answer
D -1 and 2 Correct Answer Incorrect Answer

Solution

32x + 1 – 3x = 3x + 3 – 32 ⇒ 3.32x - 3x - 27.3x + 9 = 0 ⇒ 3.3x(3x - 9) - 1 (3x - 9) =0 ⇒ (3x - 9)(3.3x - 1) = 0 ⇒ 3x = 9 or 3x = 32 So, x = 2 ⇒ 3.3x = 1 ⇒ 3x = 1/3 or 3-1 x = -1

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