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7.  Solve the simultaneous equations. Write your answer in exact form.
                                                            3x + 5y  = 8
                                                            2y   3x
                                                               –      = 6
                                                            x     y









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                       8.  Find the value of s for which the line y + 4 = sx is a tangent to the curve y =   1   − x and find
                          the x-coordinate of the point at which this tangent touches the curve.    3x
















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                       9.  The quadratic equation 3ax  + 2ax + a = 4 − x  has two distinct roots. Find the range of values
                                                                     2
                                                    2
                          of a.











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                       10.  Solve the quadratic equation x(2x − 5) = 2x + 1. Give your answer correct to 3 decimal places.













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                                                                                  Chapter 2 Quadratic Functions    15







         Chapter 2 Add Math (13 to 21).indd   15                                                                 14/03/2022   12:16 PM
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