Question

The roots of the equation `2x^2-6x+3=0` are

(a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary 

Answer 1

(b) real, unequal and irrational 

∵`D=(b^2-4ac)` 

=`(-6)^2-4xx2xx3` 

=`36-24` 

=`12` 

12 is greater than 0 and it is not a perfect square; therefore, the roots of the equation are real, unequal and irrational.