Question

if the coefficient are rational numbers then find the nature of roots of the equation 2x²- 3x+2=0 ​

Answer 1

let us first find the discriminant.

if

D>0 roots are real and distinct

D=0 roots are equal

D<0 roots are imaginary

to calculate discriminant

D = b²-4ac

equation given = 2x²-3x+2=0

where

a=2

b=-3

c=2

$\tt D=(-3)^2 -4×2×2$

$\tt D = 9-16$

$\tt D=-7$

since the discrimant is less than 0,

roots are imaginary

hope this helps!!