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Question

If 1+25144=1+x12, find the value of x.

A
5
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B
3
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C
2
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D
1
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Solution

The correct option is C 1
Given: 1+25144=1+x12
Let us square both sides .
(1+25144)2=(1+x12)2
1+25144=1+x2144+2x12

144+25144= x2+24x+144144

x2+24x25=0
x2+25x1x25=0
x(x+25)1(x+25)
(x+25)(x1)
x=25 and x=1
Since x=25 is not possible so x=1
The value of x is 1.



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