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Question

The sum of all real values of x satisfying the equation (x25x+5)x2+4x60=1 is :

A
6
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B
5
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C
3
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D
-4
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Solution

The correct option is C 3
(x25x+5)x2+4x60=1
Case I
x25x+5=1 and x2+4x60 can be any real number
x=1,4
Case II
x25x+5=1 and x2+4x60 can be an even number
x=2,3
where 3 is rejected because for x=3,x2+4x60 is odd.
Case III
x25x+5 can be any real number and x2+4x60=0
x=10,6
Sum of all values of x=10+6+2+1+4=3

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