Question

explain the nature of roots of x2- 4x +3=0

Answer 1

Answer:

Two distinct real roots.

Step-by-step explanation:

By applying discriminant

b^2-4ac

-4^2 -4*1*3

16 - 12

4

Therefore b^2 - 4ac >0

this implies nature of roots = two real and distinct roots.

Hope it helps :)

Answer 2

Answer:

Step-by-step explanation:

We rewrite the quadratic equation as follows :

x^2 - 4x + 3 = 0

The roots are :

-3 and - 1

Expanding the equation we have :

x^2 - x - 3x + 3 = 0

We now collect the like terms and factorize the equation as below:

x(x - 1) - 3(x - 1) = 0

(x - 3)(x - 1) = 0

The value of x is given as :

x = 3 or 1

This means that x can take the values 3 or 1.

The roots are negative.

That is we have the roots as - 1 and - 3.

The roots are unequal and imaginary.