Question

Find the roots of the quadratic equation x²-2x+1=0​

Answer 1

Answer:

Equal roots = 1

Step-by-step explanation:

Given a quadratic equation such that,

${x}^{2} - 2x + 1 = 0$

To find the roots.

We need to first factorise it.

We will use the middle term splitting method.

Therefore, we will get,

$= > {x}^{2} - x - x + 1 = 0$

Taking out common terms, we have,

$= > x(x - 1) - 1 (x - 1) = 0 \\ \\ = > (x - 1)(x - 1) = 0 \\ \\ = > {(x - 1)}^{2} = 0 \\ \\ = > x - 1 = 0 \\ \\ = > x = 1$

Clearly, it has equal and same roots.

Hence, the required root will be 1.

Answer 2

X^2 -2x+ 1 = 0
(x-1)^2 = 0
x-1 = 0
x = 1
Root is 1