SOLUTION: Write three quadratic equations with a,b,c (coefficients of x^2, x, and the constant) as: 1. integers 2. rational numbers 3. irrational numbers This is what I did. 1. 4x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write three quadratic equations with a,b,c (coefficients of x^2, x, and the constant) as: 1. integers 2. rational numbers 3. irrational numbers This is what I did. 1. 4x      Log On


   

Question 94625: Write three quadratic equations with a,b,c (coefficients of x^2, x, and the constant) as:
1. integers
2. rational numbers
3. irrational numbers
This is what I did.
1. 4x^2 + 11x + 6 = 0
2. x^2 + 2x = -1
3. 3z^2 + z - 1 = 0
Are these correct?
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
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,

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,