SOLUTION: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: Integers Rational numbers Irrational numbers I don't understand how to se

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: Integers Rational numbers Irrational numbers I don't understand how to se      Log On


   

Question 198828: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers
I don't understand how to set these up... can someone give me some examples and explanations so i can form my own equations?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1. Integers: any whole number
Let a=2, b=6, c=-12 (which are all whole numbers)
y=2x%5E2%2B6x-12


2. Rational Number: any number that is a ratio (or fraction) of two integers. So 1%2F4 and 2%2F1 are rational numbers
Let a=1%2F4,b=1%2F2, c=-1%2F12 (which are all fractions of whole numbers)

y=%281%2F4%29x%5E2%2B%281%2F2%29x-1%2F12

3. Irrational number: any number that cannot be represented by a fraction of two integers. For example pi and sqrt%2837%29 are irrational numbers

a=sqrt%2815%29, b=pi, c=sqrt%2812%29,

y=sqrt%2815%29x%5E2%2Bpi%2Ax%2Bsqrt%2812%29,