Question

If x-1/x=2 find the value of x^2+1/x^2
1 point​

Answer 1

Answer:

2

Step-by-step explanation:

solving for X.

x-1=2x

2x-x=-1

X=1

then solving equation by putting in the value

1^2+1/1^2

1+1/1

2

Answer 2

Question

If x-(1/x)=2, then find the value of x²+(1/x)²= ?

Answer

$= x - \frac{1}{x} = 2 \\ by \: squaring \: on \\ \: both \: sides \\ = {(x - \frac{1}{x} )}^{2} = {(2)}^{2} \\ = {x}^{2} - 2(x)( \frac{1}{x} ) + {( \frac{1}{x} )}^{2} = 4 \\ = {x}^{2} - 2 + \frac{1}{ {x}^{2} } = 4 \\ = {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 = 2$

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Therefore, your answer is 2.