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9 and 6

9-6 = 3

92+62 = 117

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Q: The two rational numbers which differ by 3 and the sum of whose squares is 117 Find The Numbers?
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How do rational numbers differ from irrational numbers?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


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Rational numbers are numbers that can be expressed as a fraction of two integers. For example, 2/3, 8/27, and 4/1 are all rational numbers. In decimal form, those three numbers would be written as .66666666666... (I'm using the "..." to represent the fact that those 6's after the decimal point continue on forever), .296296296296296..., and 4, respectively. Notice how those three numbers, when written in decimal form, either repeat some pattern after their decimal point, or end. This is, in fact, the case for every rational number; they either terminate, or they have an infinite amount of some repeating number or group of numbers after their decimal point.Irrational numbers differ from rational numbers in that none of the above apply; i.e., they can't be expressed as a fraction of two integers, they don't repeat indefinitely, and they don't end. A couple of famous examples of irrational numbers are pi and the square root of two.