Question

x^2+x-6=0

Answer 1

factor it

Answer 2

how ?

Answer 3

guess

Answer 4

think of two numbers whose product is \(-6\) and that add up to \(1\)

Answer 5

?

Answer 6

I mean 2x^2-6=0

Answer 7

no you have no like terms to combine here

Answer 8

factor means to write as a product, not to combine like terms

Answer 9

i.e. write
\[x^2+x-6\] as
\[(x+a)(a+b)\]for some numbers \(a,b\)

Answer 10

so 2, -3 is the answer ?

Answer 11

i don't know
did you factor it?

Answer 12

hold on I'll show my work

Answer 13

you have to do it step by step, not jump to the answer

Answer 14

x = (-1 +/- sqrt(1^2 - 4(1)(-6))) / (2*1)
x = (-1 +/- sqrt(1 + 24)) / 2
x = (-1 +/- sqrt(25)) / 2
x = (-1 +/- 5) / 2
x = (4 or -6) / 2
x = 2 or -3

Answer 15

you lost me
\[x^2+x-6=0\\
(x+3)(x-2)=0\] therefore
\[x+3=0\iff x=-3\] or
\[x-2=0\iff x=2\]

Answer 16

oh I forgot to split up the 6 like that ! I haven't done this kind of problem in the longest