Q81-DS quadratic equation

[anatp965]

hey,
n=?
(1) n(n+1)=6.

do i need to solve all the way? or once i understand it's a quadratic and it has two solutions, to move on?

is there any option for this kind of quadratic to have two solutions?

thank you very much,

Anat.

[RonPurewal]

that's a routine quadratic equation: n^2 + n – 6 = 0. you should be able to solve it quickly, accurately, and without a moment's hesitation.

if you are even considering using "rules of thumb" or "shortcuts" for this kind of basic algebra, then your priorities are misaligned.

[RonPurewal]

you should also be able to just look at it with your eyes, and SEE "by inspection"—in other words, just by looking at it—that there are two solutions:
2 x 3 = 6 (thus n = 2)
–3 x –2 = 6 (thus n = –3)

[RonPurewal]

is there any option for this kind of quadratic to have two solutions?

i don't understand what you are asking here.

but, this thread doesn't conform to the forum rules...
• the original source is not cited
• the ENTIRE problem (with BOTH statements, if it's a DS problem) is not provided
...the thread is now locked.

(we'll leave the discussion up, since copyright isn't really an issue for a routine quadratic equation.)

please familiarize yourself with the forum rules (first post at the top of this folder) and follow them in future posts. thank you.