Question

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

Quadratic formula: x=
-DIVO? - 400
20

Answer 1

Explanation:

Please use " ^ " to indicate exponentiation: f(x) = x^2 + 5x + 5.

Start the solution by finding the discriminant of this quadratic: a = 1, b = 5 and c = 5. Then the value of the discriminant b^2 - 4ac is 25-4(1)(5) = 5.

Because the discriminant is positive, we know that there are two real, unequal roots. They are:

-5 ± √5 -5 + √5 -5 - √5

x = --------------- , or x = --------------- and x = ---------------

2 2 2