Question

$x {}^{2} - 45x + 324 = 0$

Answer 1

x2 - 45 x + 324 = 0

===> x2 - 36 x - 9 x + 324 = 0

===> x ( x - 36)  - 9 ( x - 36 ) = 0

===> ( x - 36) ( x - 9) = 0

===> x = 36 or  x = 9 Ans. 

Answer 2

hi mate,

Factoring x²-45x+324

x² - 36x - 9x - 324

Step-1 : Add up the first 2 terms, pulling out like factors :

x • (x-36)

Add up the last 2 terms, pulling out common factors :

9 • (x-36)

Step-2 : Add up the four terms of step 1 :

(x-9) • (x-36)

Which is the desired factorization

Final result :

(x - 9) • (x - 36)

take

x-9 = 0 and x -36 = 0

x = 9 and x = 36 are the roots of equation..

i hope it helps you.