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Question

Solve the following equation and verify your answer:

(i) 2x33x+2=23

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Solution

Given: (2x3)(3x+2)=23

3(2x3)=2(3x+2)

6x9=6x4

6x+6x=94

12x=5

x=512

To check: (2x3)(3x+2)=23 for x=512

L.H.S=(2(512)3)(3(512)+2)

=((56)3)((54)+2)

=(5186)(5+84)

=(136)(134)

=(136)×(413)

=46

=23=R.H.S

L.H.S = R.H.S

Hence, the given equation is verified for x=512.

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