Applications of Quadratic Equations   Problem:       The sum of two numbers is 15. If the sum of their reciprocals is , find the numbers.   Solution:        Let the required numbers be x and 15 – x. Then,         According to question, we have                      Þ             Þ             Þ             Þ    150 =         Þ             or             Þ             Þ    …

Nature of Roots of a Quadratic Equation     In previous section, we have studied that the roots of the equation are given by          A quadratic equation has ·    Two distinct real roots if .     If we get two distinct real roots and ·    Two equal roots, if .     If then             i.e.                 So, the roots are both ·    No…