What type of roots the equation has can be shown by the discriminant. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). And the types of root the equation has ...

{4}=0\) \(25+5k=0\) Rearrange to make \(k\) the subject. The discriminant is \({b^2} - 4ac\), which comes from the quadratic formula and we can use this to find the nature of the roots. Roots can ...

relation between roots and coefficient of quadratic equation, discriminant of quadratic equation, conditions for nature of roots using discriminant, conditions for minimum and maximum value of ...