SOLUTION: Write three quadratic equations.with a, b, and c ( coefficients x2, x and the constant) are integers, rational mumbers and irrational numbers.

Question 181024: Write three quadratic equations.with a, b, and c ( coefficients x2, x and the constant) are integers, rational mumbers and irrational numbers.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You are looking for equations that look like this:

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 a, b, and c in

.

Rational numbers are those numbers that can be expressed as the quotient of two integers, namely

where p and q are integers. I suspect your instructor means for you to form

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 n as the rational number

by letting p = n and q = 1.)

Irrational numbers are those numbers that cannot be expressed as the quotient of two integers. Common examples are

(or the square root of anything that is not a perfect square),

, or the base of the natural logarithms

. Pick three of these sorts of numbers and then substitute these values for a, b, and c in

.

John

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