SOLUTION: Hi all, I was hoping someone could help me solve the following problem. I need to solve for h in the following equation. 0= (6/10)h - (5/1000)h^2 Can someone show me how to do th

Algebra ->  Equations -> SOLUTION: Hi all, I was hoping someone could help me solve the following problem. I need to solve for h in the following equation. 0= (6/10)h - (5/1000)h^2 Can someone show me how to do th      Log On


   



Question 208029: Hi all, I was hoping someone could help me solve the following problem. I need to solve for h in the following equation.
0= (6/10)h - (5/1000)h^2
Can someone show me how to do this with full working please? Notes would also be appreciated.
Thanks, -Nick.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is a quadratic equation, and it's already equal to zero, so you need to factor it. However, the fractions are pretty ugly here. It might help to get a common denominator of 1000 like this:

0=%286%2F10%29h+-+%285%2F1000%29h%5E2
0=%286%2F10%29%2A%28100%2F100%29h+-%285%2F1000%29h%5E2
0=%28600h-5h%5E2%29%2F1000

Multiply both sides by 1000:
0=600h-5h%5E2

Factor out the common factor of 5h:
0=5h%28120-h%29

There are two solutions:
5h=0
h=0

120-h=0
120=h

R^2