Question

for the quadratic equation x2-2x+1=0 find the value of x+1/x

Answer 1

Here is your answer...........

Answer 2

Answer:

$x+\frac{1}{x}=2$

Explanation:

Given quadratic equation:

x²-2x+1 = 0

=> x²-2*x*1+1² = 0

=> (x-1)² = 0

We know the algebraic identity:

$\boxed {a^{2}-2ab+b^{2}</p><p>=\left(a-b\right)^{2}}$

$\implies x-1=0$

$x=1$

Now ,

The value of

$x+\frac{1}{x}$

= $1+\frac{1}{1}$

= $1+1$

= $2$

Therefore,

$x+\frac{1}{x} = 2$

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