Question

the nature of the roots of the quadratic equation x²-2x+1=0 are

1) real and equal
2) real, rational and distinct
3) real, irrational and distinct
4) complex ​

Answer 1

Here, we will find out discriminant to find its nature.

We know that, D = b² - 4ac.

Here,

• a = 1,
• b = -2,
• c = 1.

Just put the values.

D = (-2)² - 4 × 1 × 1.

D = 4 - 4.

D = 0.

If D = 0, then the nature of roots will be real and equal.

Final Answer : Option A.

Answer 2

Answer:

To Calculate the nature of roots we need to find discriminant (D) and it must follow these conditions :-

1. D < 0 non real roots

2. D = 0 real and equal roots

3. D > 0 real and unequal roots

Step-by-step explanation:

D = b^2 - 4ac

Given Question -

a = 1 , b = -2 , c = 1

4 - 4(1)(1)

= 0

As D = 0

Therefore real and equal roots (option-1)