Which expression is equivalent to x2−x−6?

a
(x−2)(x+3)
(

b
(x−6)(x+1)

c
(x+2)(x−3)

d
(x+6)(x−1)

e
(x−2)(x−3)

Step-by-step explanation:

IN ORDER TO FIND THE ANSWER WE MUST PUT THIS QUADRATIC EQUATION IN FACTORED FORM.

X^2-X-6

USING THE AC METHOD

WE SEE

-3 AND 2 ARE OUR FACTORS

SO OUR ANSWER IS

(X-3)(X+2)

im alright what do you need

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1