Please help!!! (Continued in comments)
1. (answered)
1. To open these doors, you must speak three functions in standard form.
One function, f(x), with two real rational solutions.
One function, g(x), with two real irrational solutions.
One function, h(x), with two complex solutions.
f(x) = x^2 -49 has two rational solutions
x^2 - 49 = 0
(x+7)(x-7) = 0
x = -7 and x =7

g(x) = x^2 -7 has two irrational solutions
x^2 = 7
x^2 = sq rt (7) and -sq rt (7)

h(x) = x^2 + 1 has two complex solutions
x^2 + 1 = 0
x^2 = -1
x = i and -i (sq rt (-1) and -sq rt (-1))

Question

Please help!!! (Continued in comments)
1. (answered)
1. To open these doors, you must speak three functions in standard form.
One function, f(x), with two real rational solutions.
One function, g(x), with two real irrational solutions.
One function, h(x), with two complex solutions.
f(x) = x^2 -49 has two rational solutions 
x^2 - 49 = 0 
(x+7)(x-7) = 0 
x = -7 and x =7 

g(x) = x^2 -7 has two irrational solutions
x^2 = 7 
x^2 = sq rt (7) and -sq rt (7) 

h(x) = x^2 + 1 has two complex solutions
x^2 + 1 = 0 
x^2 = -1 
x = i and -i (sq rt (-1) and -sq rt (-1))

anonymous · Answer

(continued) 
2. Explain how to convert f(x) into the general, vertex form of the equation. Use complete sentences. You may use the f(x) you created in question 1 as an example.
3. Find the solutions of g(x). Show each step.
4. Justify if completing the square is a good method for solving when the Discriminant is negative. Use any of your three functions as an example and respond in complete sentences.