For the quadratic equation \(ax^2+bx+c=0\) \,\((a\ne0)\), the discriminant is \(D=b^2-4ac=0\). Which statement about its roots is correct?

Correct answer: Both roots are real and equal

The discriminant \(D=b^2-4ac\) determines the nature of the roots. When \(D=0\), both roots are real and equal; the repeated root is \(x=-\frac{b}{2a}\). Therefore, option B is incorrect because distinct real roots occur when \(D>0\). Exam tip: remember \(D=0\) as ‘equal real roots’.