Question

Find the nature of roots of the following quadratic equations: 

`2x^2-8x+5=0` 

 

Answer 1

The given equation is `2x^2-8x+5=0`  

This is of the form  `ax^2+bx+c=0` where `a=2,b=-8` and `c=5` 

∴ Discriminant, `D=b^2-4ac=(-8)^2-4xx2xx5=64-40>0` 

Hence, the given equation has real and unequal roots.