if y+1/y = -2 , then find the value of y to the power 50 - 1/y to the power 50.
Give detailed steps
anuritha:
My friend ,isn't it -3
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My friend,
Given ,
Y+1/y=-2
Y^2+1/y=-2 (^2 symbol means square)
Therefore,
Y^2+1=-2y
Y^2+2y+1=0
Solving the quadratic equation we get ,
(Y+1)(y+1)=0
Therefore y=-1
Substituting the value we get,
Y^50-1/y^50
=1-1
0 is the answer
Given ,
Y+1/y=-2
Y^2+1/y=-2 (^2 symbol means square)
Therefore,
Y^2+1=-2y
Y^2+2y+1=0
Solving the quadratic equation we get ,
(Y+1)(y+1)=0
Therefore y=-1
Substituting the value we get,
Y^50-1/y^50
=1-1
0 is the answer
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