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

Answer:-

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

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.