What are the solutions of the equation?

z^2 – 10z + 24 = 0

–4, –6
4, –6
4, 6
–4, 6

Question

What are the solutions of the equation?

z^2 – 10z + 24 = 0

–4, –6
4, –6
4, 6
–4, 6

phi · Answer

There are 2 ways to do this:
1) factor the quadratic
or 
2) test the answers.  only 1 pair of the 4 will work.

anonymous · Answer

My answer is C.

phi · Answer

Do you want me to check if you put either 4 or 6 into the equation in place of z, you will get 0 ?

anonymous · Answer

That would be helpful i suppose. Been doing questions like these almost all day.

anonymous · Answer

I can never seem to fully understand it.

phi · Answer

Here is replacing z with 4
z^2 – 10z + 24 = 0
4^2 - 10(4) + 24 = ? 0
16 - 40 + 24 = ? 0
yes it works for 4

show me your work for replace z with 6

anonymous · Answer

Its all on paper, and i really don't want to transfer all of what i wrote onto this, it would be quite time consuming. Plus i am in a hurry because i have to go out with my family for the rest of the day.

anonymous · Answer

Can you simply tell me if i am incorrect? I'll continue the problem myself after.