Question 181024
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You are looking for equations that look like this:  *[tex \Large ax^2 + bx + c = 0]


Integers are the whole numbers, positive, negative and zero.  So pick any three values you like from this set, not necessarily different values - it really doesn't matter, and then substitute these values for <i>a</i>, <i>b</i>, and <i>c</i> in  *[tex \Large ax^2 + bx + c = 0].


Rational numbers are those numbers that can be expressed as the quotient of two integers, namely *[tex \Large {p \over q} ] where <i>p</i> and <i>q</i> are integers.  I suspect your instructor means for you to form *[tex \Large ax^2 + bx + c = 0] for the second part of this problem by using non-integer rational numbers, i.e. fractions, but the way the question is worded you could use the integer example for the rational number example since all integers are rational numbers. (That's because you can express any integer <i>n</i> as the rational number *[tex \Large {p \over q} ] by letting <i>p</i> = <i>n</i> and <i>q</i> = <i>1</i>.)


Irrational numbers are those numbers that <i><b>cannot</b></i> be expressed as the quotient of two integers.  Common examples are *[tex \Large sqrt{2}] (or the square root of anything that is not a perfect square), *[tex \Large \pi], or the base of the natural logarithms *[tex \Large e \approx 2.7182].  Pick three of these sorts of numbers and then substitute these values for <i>a</i>, <i>b</i>, and <i>c</i> in  *[tex \Large ax^2 + bx + c = 0].



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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