Nine times a number subtracted from the square of the number is 36 find the two numbers

x = 12

x = - 3

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 36 = - 36

Step-2 : Find two factors of - 36 whose sum equals the coefficient of the middle term, which is - 9.

-36 + 1 = - 35

-18 + 2 = - 16

-12 + 3 = - 9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 12 and 3

x2 - 12x + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors:

x • (x-12)

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

3 • (x-12)

Step-5 : Add up the four terms of step 4:

(x+3) • (x-12)

Which is the desired factorization