Question

o open these doors, you must match the number and type of solutions for the following two functions in standard form.
f(x) = x2 + 6x – 16
g(x) = x2 +6x + 1

Match the following descriptions of the solutions to each of the functions above.
Hint: they each have their own match.

Two real irrationals solutions
Two real rationals solutions

Answer 1

\[x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\]
the type of solutions is determined by the sqrt
\[\text{if } b^2 -4ac > 0 , \text{then you have 2 real solutions}\]
if its a perfect square, then you get 2 rational solutions, otherwise irrational