SOLUTION: Create 3 quadratioc equations using the form ax^2+bx+c=0 as integers, as rational numbers, as irrational numbers. Please help me, I am so totally lost on this question. Thanking yo

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Create 3 quadratioc equations using the form ax^2+bx+c=0 as integers, as rational numbers, as irrational numbers. Please help me, I am so totally lost on this question. Thanking yo      Log On


   

Question 149758: Create 3 quadratioc equations using the form ax^2+bx+c=0 as integers, as rational numbers, as irrational numbers. Please help me, I am so totally lost on this question. Thanking you in advance for your time!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think what is wanted is for you to start with the roots and
work backwards to get the equations
Quadratics have at most 2 roots, so start with, for example
x+=+4
x+=+-1
then
x+-+4+=+0
x+%2B+1+=+0
To get the equation:
%28x+-+4%29%28x+%2B+1%29
x%5E2+-+3x+-+4 with integers
--------------------
Now for rationals:
x+=+-1
x+=+3.71
x+%2B+1+=+0
x+-+3.71+=+0
%28x+%2B+1%29%28x+-+3.71%29
x%5E2+-+2.71+-+3.71
---------------------
irrationals:
x+=+pi
x+=+sqrt%283%29
%28x+-+pi%29%28x+-+sqrt%283%29%29
x%5E2+-+%28pi+%2B+sqrt%283%29%29%2Ax+%2B+pi%2Asqrt%283%29