Algebra homework help

[cd423]

Hey guys, if I could get some help on some of these, that would be super awesome!

Z^2+3z+1=0. I need to alive by completing the square, I did the work I think the answer is -1.5 +- the square root of 1.25?
(2x+1)^2=x also completing the square, I've done the work, but got stuck on the factoring

Then I have a word problem: the hypotenuse of an isosceles triangle is 6th longer than either of the legs. What is the length of the legs? I am totally lost on this and the next one :

Two postal workers, Jerome and Tim can sort mail in 5 hours. Working alone, Tim can sort the mail in 1 hr less then Jerome can. Find the time each worker can sort the mail on their own.



Thanks for any help guys, I appreciate it so much!!!

 

[Deleted member 4993]

Hey guys, if I could get some help on some of these, that would be super awesome!

Z^2+3z+1=0. I need to alive by completing the square, I did the work I think the answer is -1.5 +- the square root of 1.25?

Correct

(2x+1)^2=x also completing the square, I've done the work, but got stuck on the factoring

Do you know about imaginary numbers? You'll need to use that concept here.


Then I have a word problem: the hypotenuse of an isosceles triangle is 6th longer than either of the legs. What is the length of the legs? I am totally lost on this and the next one :

Use Pythagorus's theorem

Two postal workers, Jerome and Tim can sort mail in 5 hours. Working alone, Tim can sort the mail in 1 hr less then Jerome can. Find the time each worker can sort the mail on their own.

Assume that

Tim (alone) completes sorting in "t" hours ? Tim (alone) sorts "1/t" fraction of mail in 1 hr

Jerome (alone) completes sorting in "t+1" hours ? Tim (alone) sorts "1/(t+1)" fraction of mail in 1 hr

Then

Working together, in 1 hr they can sort [1/t + 1/(t+1)] fraction of mail?

Now continue......




Thanks for any help guys, I appreciate it so much!!!