SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, {{{ax^2+bx+c=0}}}. Given numbers: -sqrt3, 3sqrt3

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, {{{ax^2+bx+c=0}}}. Given numbers: -sqrt3, 3sqrt3      Log On


   

Question 390275: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax%5E2%2Bbx%2Bc=0.
Given numbers: -sqrt3, 3sqrt3
Found 2 solutions by ankor@dixie-net.com, edjones:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0.
Given numbers: -sqrt3, 3sqrt3
These solutions would be from two factors
%28x+%2B+sqrt%283%29%29 %28x+-+3sqrt%283%29%29
FOIL
x%5E2+-+3sqrt%283%29x+%2B+sqrt%283%29x+-+3%283%29 = x%5E2+-+2sqrt%283%29x+-+9

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x=-sqrt(3), x=3sqrt(3)
(x+sqrt(3))(x-3sqrt(3))=0
x^2-2sqrt(3)-9 FOIL
.
Ed