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Algebra
Possible value of x for equation
(x^2-x-1) ^ (x+2)=1 ?
Read Solution (Total 15)
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- ans are 0,1,2,-2
- 9 years agoHelpfull: Yes(8) No(6)
- One of the solution is x= -2
- 9 years agoHelpfull: Yes(3) No(1)
- If we take any power on 1.it always remain 1.
so x^2-x-1=1
Now..
X^2-x-2=0
so answer is -1or 2. - 9 years agoHelpfull: Yes(2) No(6)
- x=-2 because any value to the power 0 is equals to 1.
- 9 years agoHelpfull: Yes(1) No(1)
- -1,-2,0,2 possbile no valve
- 9 years agoHelpfull: Yes(1) No(0)
- ans will be -2 because if u put x=-2 after than power will be zero.
and any no. power is 0 than its values will be 0.
- 9 years agoHelpfull: Yes(1) No(0)
- Select the least possible integer i.e 0
- 9 years agoHelpfull: Yes(0) No(0)
- solution- 0,1,-2
just try it....
- 9 years agoHelpfull: Yes(0) No(0)
- Putting x=0, -2
It can be said that the following equation equals 1 - 9 years agoHelpfull: Yes(0) No(0)
- (2^2-2-1)^(2+2)= 1
- 9 years agoHelpfull: Yes(0) No(0)
- x=0,-1,-2,2 also satisfies the equation.
- 9 years agoHelpfull: Yes(0) No(0)
- ans -2 -1 0 1 2
- 9 years agoHelpfull: Yes(0) No(0)
- Ans...=-1
Reason
Given,
(x^2-x-1) ^ (x+2)=1
By hit and trail method
=>putting -1 in the eqaution we get
LHS, (1+1-1)^(-1+2)=1^1=1
hence the possible value of x=-1 - 9 years agoHelpfull: Yes(0) No(0)
- It should be 1 only when (x+2)=1, so x=-2.
- 9 years agoHelpfull: Yes(0) No(0)
- -2,-1,0,2 is the answer..
- 9 years agoHelpfull: Yes(0) No(0)
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