CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

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


A
3
loader
B
4
loader
C
6
loader
D
5
loader

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

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image