Question

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

Answer 1

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

Answer 2

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