Question

solve
${x }^{2} - 45x + 324$

Answer 1

${x}^{2} - 45x + 324 \\ {x}^{2} - 36x - 9x + 324 \\ x(x - 36) - 9(x - 36) \\ (x - 9)(x - 36)$
if the equation is equal to zero then x will be equal to 9 and 36

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.