Question

(x-5)(x-6)=25/576 solve the quadratic equation by factorization

Answer 1

(x-5)(x-6)=25/576

x² - 6x - 5x + 30 = 25/576

576x² - 6336x + 17280 = 25

576x² - 6336x + 17255 = 0

576x² - 2856x - 3480x + 17255 = 0

24x(24x - 119) - 145(24x - 119) = 0

(24x - 119)(24x - 145) = 0

x= 119/24  , x = 145/24

Answer 2

$\huge\sf{Required\:Answer:}$

$\sf =>(x-5) \: (x-6)= \frac{25}{576}$

$\sf =>x^{2}- 6x - 5x + 30 =\frac{25}{576}$

$\sf=>576{x}^{2}-6336x+17280=25$

$\sf=>576{x}^{2}-6336x+17255=0$

$\sf=>576{x}^{2}-2856x-3480x+17255=0$

$\sf=>24x(24x-119)-145(24x-119)=0$

$\sf=>(24x - 119)(24x - 145) = 0$

$\sf=> x=\frac{119}{ 24}\:and\:x = \frac{145}{24}$