Question

3x²-4√3x+4=0 find the nature of the roots of the quadratic equation and solve it

Answer 1

Answer:

Step-by-step explanation:

the nature of roots can be equal, real and imaginary

in order to find that we use determinant formula

=b^2-4*a*c

if determinant is zero roots are equal

if determinant is > 0 then roots are real and distinct

if determinant is <0 roots are imginary

now in the given equation find

b=-4sqrt(3)

a=3

c=4

4*a*c=4*3*4=48

b^2=(4*sqrt(3))^2=48

difference=0

so roots are equal