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SAI International School
                                                       CLASS - X

               Mathematics
               CHAPTER- 4: Quadratic Equations-1

               HOME ASSIGNMENT- 1


               SUBTOPIC : Standard form and forming quadratic equation from word
               problem.





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               1     Check whether the following is quadratic equation x  - 4x  - x + 1 = (x - 2)
                      it is a quadratic equation
               2
                     Examine whether the equation                                    is quadratic

                       2
                     8x  - 14x + 12 = 0
                     As the degree of the equation is 2.



               3
                     Check whether the equation                is a quadratic equation

                     Multiplying both sides of the equation by x, we get,


                     Since the polynomial at the LHS is not a quadratic polynomial, the given equation is
                     not quadratic.
               4
                     The sum of two numbers is 15 and the sum of their reciprocals is      . Formulate
                     the quadratic equations to find the numbers.
                        2
                       x  - 15x + 50 = 0

               5     A Shatabdi train takes 1 hour less than a Rajdhani train to travel 121 km between
                     two stations A and B. If the average speed of the Shatabdi train is 11km/hr more
                     than that of the Rajdhani train, form the quadratic equation to find the average
                     speed of each train.
                        2
                       x  + 11x - 1331 = 0
               6     Rs 500 was divided equally among a certain number of children. If there were 50
                     more children, each would have received 50 paise less. Form the quadratic

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