SOLUTION: Hello, I need help please..... Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form -√ ̅7, 3 &#87

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello, I need help please..... Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form -√ ̅7, 3 &#87      Log On


   

Question 603438: Hello,
I need help please.....
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form -√ ̅7, 3 √ ̅7
Thanks so much
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 -√ ̅7, 3 √ ̅7
:
Write a factor from each root
x = -sqrt%287%29
(x + sqrt%287%29) = 0
and
x = 3sqrt%287%29
(x - 3sqrt%287%29) = 0
FOIL
(x + sqrt%287%29) * (x - 3sqrt%287%29) = 0
:
x^2 - 3sqrt%287%29x + sqrt%287%29x - 3(7) = 0
:
y = x^2 - 2sqrt%287%29x - 21