Question

if x-1/x =-1 then find the value of x^2+1/x^2

Answer 1

Step-by-step explanation:

$x - \frac{1}{x} = - 1 \\ therefore \\ x {}^{2} + \frac{1}{x {}^{2} } = (x - \frac{1}{x} ) {}^{2} + 2 \times x \times \frac{1}{x} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( - 1) {}^{2} + 2 = 1 + 2 = 3$

Answer 2

Answers

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

Step-by-step explanation: