Question 179766: I need help with this word problem
write three quadratic equations,with a,b, and c (coefficients of x to the power of 2, x, and the constant as 1.integers2.rational numbers 3. irrational numbers.
Found 2 solutions by Mathtut, solver91311: Answer by Mathtut(3670) (Show Source): 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

|
|
|