SOLUTION: Write a quadratic equation in standard form with the solution set {2-sqrt5, 2+sqrt 5}. The quadratic equation in standard form is ___. (Simplify your answer. Type an equation usi

Question 756612: Write a quadratic equation in standard form with the solution set {2-sqrt5, 2+sqrt 5}.
The quadratic equation in standard form is ___.
(Simplify your answer. Type an equation using x as the variable.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write a quadratic equation in standard form with the solution set
{2-sqrt5, 2+sqrt 5}.
----
f(x) = [x-(2-sqrt(t)][x-(2+sqrt(5)]
------
Rearrange:
f(x) = [(x-2)+sqrt(5)][(x-2)-sqrt(5)]
---------
Multiply:
------
f(x) = (x-2)^2 - 5
----
f(x) = x^2 -4x +4 -5
----
f(x) = x^2 -4x -1
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Cheers,
Stan H.
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