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If a, b, and c are integers and are the sides of triangle ABC such that b=a(a-c), show that sin(B)/sin(A) is an integer.
If a and b are distinct real numbers such that a-b and a^2-b^2 are rational, must a and b be rational?
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
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