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
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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) (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:
\left(x\ -\ 5\sqrt{2}\right))
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
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