Question

# The sum of all real values of $$x$$ satisfying the equation $$(x^{2} - 5x + 5)^{x^{2} + 4x - 60} = 1$$ is:

A
3
B
4
C
6
D
5

Solution

## The correct option is A $$3$$$$(x^2-5x+5)^{x^2+4x-60}=1$$First possibility is $$x^2+4x-60 = 0$$$$x=-10,6$$Seond possibility is $$x^2-5x+5=1$$$$x=1 ,4$$Third Possibility$$x^2-5x+5=-1$$$$x=2,3$$ substitute $$x=3$$ it will give odd number in $$x^2+4x-60$$So $$x=2$$ is only acceptable.Sum of the integers $$=-10+4+1+6+2=3$$Mathematics

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