1) To open these doors, you must match the number and type of solutions for the following two fuctions 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.

After matching these functions, explain to Professor McMerlock how you know these functions meet each condition. Remember, he is a professor so use complete sentences.

Question

1) To open these doors, you must match the number and type of solutions for the following two fuctions 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.

After matching these functions, explain to Professor McMerlock how you know these functions meet each condition. Remember, he is a professor so use complete sentences.

triciaal · Answer

f(x) has 2 real rational solutions   when the function is zero it crosses the x-axis at -8 and +2   (x+8)(x-2)= x^2+6x -16

megatron · Answer

So f(x) has two real rational solutions and and g(x) has two real irrational solutions?

triciaal · Answer

yes

megatron · Answer

can you explain why please?

triciaal · Answer

when the function crosses the x axis   meaning  f(x) = 0  there are two real numbers of x that satisfy the equation

megatron · Answer

Why does g(x) have two irrational solutions?

triciaal · Answer

do you know how to find the discriminant?

megatron · Answer

No