Solve for x, y and z.

x^2 + y^2 = z^2
xz = y^2
x + y + z = 10

(x, y and z are all positive, real numbers)

Question

Solve for x, y and z.

x^2 + y^2 = z^2
xz = y^2
x + y + z = 10

(x, y and z are all positive, real numbers)

precal · Answer

what level of math is this?

anonymous · Answer

It's systems of equations so possibly algebra 2, but the guy said it's one that lots of math grads struggle with, so i was interested in the solution. Any idea where to start?

precal · Answer

I think it is going to be one of those cases where you have to make some kind of statement, perhaps if x=y, I would suggest graphing each one by itself and see if you can overlay the graphs to see if there is a point of intersection.

precal · Answer

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