Question

2x^2-6x+3=0 find the nature root

Answer 1

Answer:

Real and different.

Step-by-step explanation:

We know, nature of roots is defined by the discriminant of that equation.

We say b^2 - 4ac as discriminant for the equation ax^2 + bx + c = 0.

So, here,

     Discriminant = ( -6 )^2 - 4( 2 )( 3 )

                           = 36 - 24

                           = 12

Since discriminant is not 0, roots are different. Also, discriminant is +ve, so roots are real numbers.

So,

      Roots are real and different.