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Numerical Ability
Algebra
How many integers x satisfy the equation
(x^2 - x - 1 )^(x+2) =1
1) 3
2) 2
3) 4
4) none of these
Read Solution (Total 12)
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- 3) 4
(x+2)=0 => x=-2
x^2 - x - 1 = 1 => x = 2,-1
x^2 - x - 1 = -1 => x = 0,1 but at x=1 no soln.
4 integral solns
x= -2,-1,0,2 - 10 years agoHelpfull: Yes(26) No(3)
- (2,0,-1) ------->[by trial method]
these are the integers that solve the above equation.... therefore the answer is option 1) 3 - 10 years agoHelpfull: Yes(1) No(5)
- put n=2
(4-2-1)^4
then by solving above we get 1
ans 2
- 10 years agoHelpfull: Yes(1) No(3)
- only 3 integers satisfy this condition
2,-1 and 0.
for x=1;(1^2-1-1)^(1+2)
=> (1-2)^3 or (-1)^3=-1. - 10 years agoHelpfull: Yes(1) No(2)
- no of integer will satisfy the equation is 3.
put x=2,-1,0.
by putting all these value it will satisfy the equation.so no of integer is 3. - 10 years agoHelpfull: Yes(0) No(5)
- 2) 2
(-2,1) only these two numbers are satisfying the condition - 10 years agoHelpfull: Yes(0) No(4)
- 4 integers satisfy the equation
they are
-1,1,0,2 - 10 years agoHelpfull: Yes(0) No(2)
- 4 x=0,2,-1,-2
- 10 years agoHelpfull: Yes(0) No(0)
- log is on base 10
(x+2)log(x^2-x-1)=0
(x+2)=0, log(x^2-x-1)=0
x=-2
x^2-x-1=10^0
x^2-x-1=1
x^2-x-2=0
x=-1,x=2
hence ans=2,-1,2 - 10 years agoHelpfull: Yes(0) No(0)
- 4 is answer
2-.-1,0,2 - 10 years agoHelpfull: Yes(0) No(0)
- 4 is answer
2-.-1,0,2 - 10 years agoHelpfull: Yes(0) No(0)
- submit n check every option in place of x .if the value L.H.S and R.H.S are equal
- 10 years agoHelpfull: Yes(0) No(0)
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