Write whether the following statements are true or false. Justify your answers. (v) If the coefficient of and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.
Explanation.
Let us consider an example, in , as and have opposite sign,
In this case, the discriminant is always positive.
Discriminant
Thus, if Discriminant then the quadratic equation has real roots.
Hence, the given statement is True.