Latest TCS Aptitude Question SOLUTION: how many integer x satisfies the equation (x^2-x-1)^x+2 = 1

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how many integer x satisfies the equation (x^2-x-1)^x+2 = 1

Asked In TCS Dipak parekh (8 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

SHUBHAM  (8 years ago)

ans is 4
if x=2,-2,-1,0

Is this solution Helpfull? Yes (19) | No   

vishal kumar  (8 years ago)

Ans must be 4.
Process:
Apply log on both side
(x+2).log(x^2-x-1)=log(1)

so we know log of 1 is 0,So now the eq became
(x+2).log(x^2-x-1) =0
so,suppose x+2=0
.
. . x=-2
if x^2-x-1=0

x=2,-1;
and x=0 when we are putting x =0 in the above question.

Therefore total no. of solution for the the above question is 4.

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Sachin  (8 years ago)

Ans is 4
X = 0 , -1 , -2 , 2

Is this solution Helpfull? Yes (1) | No   

priyanshu kumar  (8 years ago)

only 2 value will satisfied

Is this solution Helpfull? Yes | No (4)  

SHAIK MUSTHAFA  (8 years ago)

2 will satisfy the equation because let us consider this equation as (X^2-X-1)^X+2=1^X+2 then X^2-X-1=1 and then X=2 will satiisfy the equation (note: 1^x+2=1)

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MAYUR INGOLE  (8 years ago)

3 int values will satisfy the equation
x= 0
x= -1
x= 2

Is this solution Helpfull? Yes | No (2)  

venky  (8 years ago)

0,-1,1,2,-2
total 5

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