Determine the nature of the roots for each of the following quadratic equations.
`sqrt3x^(2)+sqrt2x-2sqrt3=0`

Answer

The roots are real and unequal.

Explanation

Comparing `sqrt3x^(2)+sqrt2x-2sqrt3=0`
with `ax^(2)+bx+c=0`
`a=sqrt3,b=sqrt2,c=-2sqrt3`,
`Delta=b^(2)-4ac`
`=(sqrt2)^(2)-4(sqrt3)(-2sqrt3)`
=2+24
=26
`Deltagt0`