Square Within a Square

Nicole Mosteller

EMAT 6690


Find the equation that fits the following function.


Through a process of manipulation and substitution on Equations 1 - 5, the following facts are easily determined.

a = c = z

-b = 2a

y = -2a + 2w

Let's use these facts in Equation 6.


Recall Equation 6:

Substitution of the above facts into Equation 6 gives

After factoring, our work gives two solution.

a = 4w or a = w.


Which of the above solutions give us the equation for the line that we desire?

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