How do you describe the nature of the roots of the equation #7x^2=4x+1#?
Roots are irrational. In the given equation these are
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