Question

1. x - 1

a) (x - 5)² - 2 = x ( x - 2 ) - ------

2

2x + 1

b) (3x - 1 )² - ------- = 9x (2 + x) - 8 (x + 2)

3

x + 8 1

c) (x + 4 )² + -------- = --- x (2x - 6) + 3 ( x +1 )

2 2

d) (2x - 1)² + 5 = 4x ( x -2 ) - 2 (2x +1)

2. x - 3

a) ( x - 3)² - -------- = (x +1)² + x

2

x -10

b) (2x - 3)² + ------ = (2x - 4) (2x + 4) - 2 ( x -10 )

2

Answer 1

                                        x - 1

a) (x - 5)² - 2 = x ( x - 2 ) - ------   

                                           2

x² - 10 x + 25 -2 = x² - 2x - x -  1

                                         --------   / *2

                                             2

 

2x² - 20 x + 50 = 2x² - 4 x - x - 1

 

2x² - 20 x + 50- 2x² + 4 x + x + 1 = O

 

-15 x = - 51 / : -15

 

x = 3,4