Formula Assistance: Solve DP = [(GPM * 17.3)/(FF)]^2 for GPM

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apprentice3

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. . .\(\displaystyle DP\, =\, \left(\dfrac{GPM\, \cdot\, 17.3}{FF}\right)^2\)

I have a formula shown above that I am trying to figure for GPM instead of the DP. How can I rearrange this formula to find for GPM? I know what the DP is in this instance. I am looking for a formula that will use the DP to give me a GPM result. Thanks for the help!

Current Formula - DP = GPM * 17.3 / FF squared. (I already know the DP and the FF)
 

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Okay, so since you've shown no work of your own, I'll assume you're stuck at the very beginning. The first thing you'd want to do is to "get rid of" the squared on the right side. One way is to recall the formula \(\displaystyle \left( \dfrac{\alpha}{\beta} \right)^2=\dfrac{\alpha^2}{\beta^2}\). Based on that, what would \(\displaystyle \left( \dfrac{\alpha \cdot \gamma}{\beta} \right)^2\) evaluate to? From your problem, what might be good values to pick for Alpha, Beta, and Gamma? Where does making the appropriate substitutions lead you?
 
apprentice3 said:
. . .\(\displaystyle DP\, =\, \left(\dfrac{GPM\, \cdot\, 17.3}{FF}\right)^2\)

I have a formula shown above that I am trying to figure for GPM instead of the DP. How can I rearrange this formula to find for GPM? I know what the DP is in this instance. I am looking for a formula that will use the DP to give me a GPM result. Thanks for the help!

Current Formula - DP = GPM * 17.3 / FF squared. (I already know the DP and the FF)
Click to expand...

\(\displaystyle GPM=\dfrac{FF\cdot\sqrt{DP}}{17.3}\) (from the image is it 17.3 or 173? correct please)
 
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ksdhart2 said:
Okay, so since you've shown no work of your own, I'll assume you're stuck at the very beginning. The first thing you'd want to do is to "get rid of" the squared on the right side. One way is to recall the formula \(\displaystyle \left( \dfrac{\alpha}{\beta} \right)^2=\dfrac{\alpha^2}{\beta^2}\). Based on that, what would \(\displaystyle \left( \dfrac{\alpha \cdot \gamma}{\beta} \right)^2\) evaluate to? From your problem, what might be good values to pick for Alpha, Beta, and Gamma? Where does making the appropriate substitutions lead you?
Click to expand...

Thanks for the reply... It has been nearly 12 years since I have taken Algebra... I will try to follow your formulas, but I have tried dropping the square and I am not getting the result that I am looking for..

I have a example formula that I am trying to work through...

136 (DP) = 350 (GPM) * 17.3 / 519 (FF) squared. I am racking my brain trying to figure out how to get the 350.
 
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