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Home > Science > Mathematics   »   solving Quadratic Equations/ WORD PROBLEMS

 
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Old Mar 2, 2007, 05:40 AM
12344321
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solving Quadratic Equations/ WORD PROBLEMS

I HAVE NO IDEA HOW TO DO SOMTHINGLIKE THIS????


The length of a rectangle is 2 feet more than the height. the area of the rectangle is 5 foot , find the base??

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Old Mar 2, 2007, 05:43 AM   #2  
Capuchin
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here you need to solve simultaneous equations



Now you can rearrange the first equation for h, put it into the second equation, then solve for l and that should be the base youa re looking for.

Let me know if you get stuck.

Comments on this post
terryg752 disagrees: Why use 2 variables when one will do?
Curlyben agrees: Least using two differenciates the Length and height
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Old Nov 8, 2007, 06:54 PM   #3  
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The length of a rectangle is 2 feet more than the height. the area of the rectangle is 5 foot , find the base??






Quote:
Originally Posted by Capuchin
here you need to solve simultaneous equations



Now you can rearrange the first equation for h, put it into the second equation, then solve for l and that should be the base youa re looking for.

Let me know if you get stuck.

i am stuck.
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Old Nov 8, 2007, 10:54 PM   #4  
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You don't know how to solve simultaneous equations like the ones I posted?
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Old Nov 9, 2007, 02:58 AM   #5  
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(WHY use 2 variables and make it harder to solve?)

(One variable can do the job and obviate the need of simultaneous equation)

Let me try to explain:

Suppose length is L (as we want to find value of length).

Then height has to be L - 2

So the area = Length times height = 5

L (L - 2) = 5

L^2 - 2L - 5 = 0

Solve this quadratic equation to get the Length L.

You get 2 roots of this equation, one root is negative.

As Length cannot be negative, ignore the negative root of the quadratic.
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