1.

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

Answer»

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.


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