if x-1/x=-1 then find the value of x^2+1/x^2
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Answer:10
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Answer:
x^2+1÷x^2 -------------(1)
x-1÷x=-1
x-1=-1×x
x-1=-x
x+x=1
2x=1
x=1÷2
Put in 1
=(1÷2)^2+1÷(1÷2)^2
=(1÷4)+1÷(1÷4)
=(5÷4)÷(1÷4)
=5÷4×4÷1
=5
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