Solve Math Problem: Find Z Given X, Y, & Z Variables

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To solve the math problem involving the variables X, Y, and Z, the equations X = Z²*201527 and Y = Z*54794 can be combined to form the equation 324634960 = X + Y. By substituting the expressions for X and Y into this equation, Z can be isolated and solved. The quadratic formula is a useful method for finding Z, which must be a positive number. Additionally, the discussion includes a request for a similar problem to practice solving independently. The solution process emphasizes the importance of correctly manipulating the equations to find the desired variable.
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Hey, i stumbled across a math problem that's got me stump and I was wondering if anyone can help me out. What we have are there 2 dependent variables and 1 independent variable (X,Y, and Z respectively). It looks something like this
X = Z²*201527
Y = Z*54794
324634960= X + Y

What I am trying to do is find Z.

I Thought i could elimnate common variables to get an answer but I guess not, unless I am doing doing something wrong. If it helps Z must be a positive Number. Thanks for the help =)
Oh and one thing, if possible could you make a similar problem up? I kind of want to solve this one by myself but I am not sure how to =p
 
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Add the expressions for X and Y in terms of Z together, and then set that equal to what you know X+Y is. Then you can solve for Z, and also find X and Y if you wanted or needed to.
 
Hey i meant to post this the other day, but someone already solved it simply by useing the quadatric formula =p. I am surprised that didn't stick out. Well thanks anyways =D.
 
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