Question

Solve 3x2 − 3x − 6 = 0

Answer 1

I did this 3x2 − 3x − 6 = 0.
+ 6 = 6
3x2 - 3x = 6
/ +3 /3
3x2 - x = 2
\3 - x = 3

x2 - x = 2/3

Answer 2

But the answer must be
There :
{1, 2}

{-2, 1}

{-1, 2}

{-2, -1}

Answer 3

3x2 − 3x − 6 = 0
a=3, b=-3, c=-6
a*c = -18
we want two numbers that multiply to -16 but add to -3
-6 and 3 are these numbers
expand the middle term
3x^2+3x-6x-6=0
3x(x+1)-6(x+1)=0
(3x-6)(x+1)=0
so this is zero when
3x-6=0 and x+1=0
so
3x-6=0
3x=6
x=2
and
x+1=0
x=-1
so
{-1,2} is the solution set.

Answer 4

you went wrong here
3x2 - 3x = 6
/ +3 /3