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