Math Is Fun Forum

Slowlrnr

Member

Registered: 2010-01-26

Posts: 14

Need expressed as an equation

1) Ten divided by the difference of a number and one equals the quotient of the number and two.

2) The ratio of six and a number squared, reduced by one, is equal to the reciprocal of the number.

Thank you for your time.

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Need expressed as an equation

1.

2.

---

Why did the vector cross the road?
It wanted to be normal.

Slowlrnr

Member

Registered: 2010-01-26

Posts: 14

Re: Need expressed as an equation

Thanks. I hate English in my Math
I solved the first problem but the second I ran into a snag.

I used 6X as the LCD which resulted in
x^3-6x=6
x^3-6x-6=0

I cannot factor that any lower. Did I do something wrong?

Last edited by Slowlrnr (2010-03-31 11:06:57)

ZHero

Real Member

Registered: 2008-06-08

Posts: 1,889

Re: Need expressed as an equation

2.

it should be....

which'll give u
x=2 or -3 

---

If two or more thoughts intersect, there has to be a point!

Slowlrnr

Member

Registered: 2010-01-26

Posts: 14

Re: Need expressed as an equation

Thanks.
Unfortunately, I have another issue with a word problem. I stink at these.

A tub takes three times as long to fill now that it has sprung a leak than it did before. All of the water will leak out of the tub in 1 hour. How long does it take the tub to fill with and without the leak?

Alright, I think I determined the formula "without the leak" to be:
1/T-1/60=1/(3T)    and it came out to 40 minutes.

or should I have expressed this as

1/T-1/(3T)=1/60

I am having an issue with the "with the leak" setup.