SOLUTION: Please help: 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. +sqrt2,5sqrt2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Please help: 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. +sqrt2,5sqrt2      Log On


   

Question 342611: Please help:
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.
+sqrt2,5sqrt2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is a root of a polynomial equation, then must be a factor of the polynomial. Since a quadratic equation has two roots, if you are given both of them, you can immediately derive the two factors of the quadratic trinomial:



Just multiply the two binomials using FOIL. Note: Not all of the coefficients of your final answer will be rational.

John

My calculator said it, I believe it, that settles it