X2 - 12x + 27 = 0 Solutions: x = and x =

Step-by-step explanation: x = 9

x = 3

Step by step solution:

Step 1:

Trying to factor by splitting the middle term

1.1 Factoring x2-12x+27

The first term is, x2 its coefficient is 1.

The middle term is, - 12x its coefficient is - 12.

The last term, "the constant", is + 27

Step-1 : Multiply the coefficient of the first term by the constant 1 • 27 = 27

Step-2 : Find two factors of 27 whose sum equals the coefficient of the middle term, which is - 12.

-27

+

-1

=

-28

-9

+

-3

=

-12

That's it

Step-by-step explanation:

x² - 12x + 27 = 0

x² - 9x - 3x + 9*3 = 0

x (x-9) - 3 (x - 9) = 0

(x-9) (x-3) = 0

x - 9 = 0; x - 3 = 0

x = 9; x = 3

x = 9 or 3