SOLUTION: This is the last question for an assignment. My mind is mush at this time, can someone please help? It is a three part question. The instructor wants us to write three (3) quadr

Algebra ->  Real-numbers -> SOLUTION: This is the last question for an assignment. My mind is mush at this time, can someone please help? It is a three part question. The instructor wants us to write three (3) quadr      Log On


   



Question 186706: This is the last question for an assignment. My mind is mush at this time, can someone please help? It is a three part question. The instructor wants us to write three (3) quadratic equations with a,b,and c (coefficients of x^2, x, and the constant) as: 1: Integers, 2: Rational numbers, and 3: Irrational numbers. I need this by 3 a.m. central time. Please help! This is for Intermediate Algebra and does not come from a book that I know of.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, all quadratics are of the form y=ax%5E2%2Bbx%2Bc

So when they say that they want the values of 'a', 'b' and 'c' to be integers, they just want them to be whole numbers. So we could say that a=1, b=2, and c=7 to get y=x%5E2%2B2x%2B7


For rational values, just substitute in fractions for 'a', 'b' and 'c'

Finally, for irrational values, just plug in non perfect square roots such as sqrt%282%29, sqrt%285%29 and sqrt%2811%29 into 'a', 'b' and 'c'