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Question

Solve the following equations:
22x+357=65(2x1).

A
3,3
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B
±3
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C
±4
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D
2,3
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Solution

The correct option is B ±3
Given, 22x+357=65(2x1)
22x.2357=65(2x1)
8(2x)257=65(2x1)
Put 2x=t
Therefore, 8t257=65(t1)
8t25765t+65=0
8t265t+8=0
8t264tt+8=0
(8t1)(t8)=0
t=18,8
Resubstituting values, we get
2x=t
2x=18=(12)3
2x=(21)3=23
x=3
and 2x=8
2x=23
x=3
So, complete solution is x=±3.

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