Question

find the nature of roots of the quadratic equation x^2-4x+3=0​

Answer 1

Answer:

The nature of roots is "Real".

Step-by-step explanation:

For finding the nature of roots of this Quadratic Equation

We have to find the nature of D(discriminant)

If

D = 0 { Roots are real and equal }

D > 0 { Roots are real }

D < 0 { Roots are Not real/ Imaginary }

So, we know that

D = $b^{2} - 4ac$

a = 1 ; b = -4 ; c =  3

$D = (-4)^{2} - 4 * 1 * 3\\D = 16 - 12\\D = 4$

∴ D > 0

==> That the nature of roots is "Real".