Respuesta :

Answer:

The solution of the given equation is x = 4

Step-by-step explanation:

Given equation 9 x² - 29 x - 28 =0

 The Factors of  252 is  3 6 × 7

         now          9 x² - 36 x + 7 x - 28 =0

taking common terms , we get

                         9 x ( x -4) + 7 ( x - 4) = 0

                         (9 x + 7) (x - 4) = 0

                         9 x + 7 = 0 and x - 4 = 0

            [tex]x = \frac{-7}{9} = - 0.7778[/tex]     and  x =4

[tex]x = \frac{-7}{9} = - 0.7778[/tex] is not satisfied of the given equation

The solution of the given equation is x = 4