# How do you describe the nature of the roots of the equation #7x^2=4x+1#?

##### 1 Answer

Roots are irrational. In the given equation these are

#### Explanation:

Nature of roots of an equation

Assuming that the coefficients

if discriminant is zero, there is one root and we also say roots coincide.

if discriminant is negative, roots are complex,

if discriminant is positive and square of a rational number, roots are rational

and if discriminant is positive but not a square of a rational number, roots are irrational.

As the equation

In fact, according to quadratic formula roots are