# How do you describe the roots of #4x^2 - 3x + 2 = 0#?

##### 1 Answer

Jan 30, 2016

A conjugate pair of Complex roots.

#### Explanation:

This has discriminant

#Delta = b^2-4ac = (-3)^2-(4*4*2) = 9-32 = -23#

Since

#x = (-b+-sqrt(b^2-4ac))/(2a)#

#=(-b+-sqrt(Delta))/(2a)#

#=(3+-sqrt(-23))/(2*4)#

#=3/8+-sqrt(23)/8i#

where *imaginary unit*.