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Question

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


Your Answer
A
6
Your Answer
B
5
Correct Answer
C
3
Your Answer
D
-4

Solution

The correct option is B 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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