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sugagal
 3 years ago
please help solve this F(x)= x2 5x36
sugagal
 3 years ago
please help solve this F(x)= x2 5x36

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satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0solve what? this is a function. what do you want to do with it?

sugagal
 3 years ago
Best ResponseYou've already chosen the best response.0zero of the polynomial function

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0ok, so you want to know what numbers multiply to get 36 but add to get 5

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0so options for 36 = (1, 36), (2,18), (3,12), (6,6), (9,4), (12,3)... so on

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0so (x9) * (x+4) distributes to get the right side of the equation

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0so what values could x have to make the factored version multiple to zero? it's whatever makes the individual factored terms "0"  since anything multiplied by zero is 0

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0so the first one is (x9) = 0 OR (x+4) = 0  those are the roots, solve for x in each case

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0in the first case, x=9, since (99)=0, and 0*(x+4) = 0. So 9 is one root

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0what is the other one? it's the number that makes (x+4) = 0

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0exactly, so you have your two roots =). 9 and 4

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0So the entire thought process is: 1. F(x)= x^2 5x36  find the roots  ok so that means what values of x makes F(X)=0 2. Oh crap, that's hard to just guess and check. I better factor it. 3. F(x) = (x9)*(x+4) //factored and equivalent 4. OK, so now it's easy to see. The function will equal zero when either (X9) =0 , OR (x+4) =0. 5. x=9, or x=4

sugagal
 3 years ago
Best ResponseYou've already chosen the best response.0ok, so is that the answer

sandra
 3 years ago
Best ResponseYou've already chosen the best response.0zero means "where does the function = 0". so you found both places

sugagal
 3 years ago
Best ResponseYou've already chosen the best response.0oh ok thank you very much for you help
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