Question

Find the nature of roots of the following quadratic equations: 

`x^2-x+2=0`

Answer 1

The given equation is `x^2-x+2=0` 

This is of the form `ax^2+bx+c=0` where `a=1,b=-1 and c=2` 

∴ Discriminant, `D=b^2-4ac=(-1)^2-4xx1xx2=1-8=-7=0` 

Hence, the given equation has no real roots.