Question

AWARDING MEDALS!

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.
F(x) = (x-1) (x-2)

Answer 1

I am not sure how to do this?

Answer 2

@HaleyT @jdoe0001 @ehuman

Answer 3

can one of you help me please?

Answer 4

i'm not sure how to answer this either.

Answer 5

okay. That is okay. Thanks for looking at it anyways :-)

Answer 6

@KeithAfasCalcLover @Littlemsadventuretime

Answer 7

When the discriminant is negative, there are no real roots! So completing the square will only give you the co-ordinates. It has no real roots

Answer 8

http://www.algebra.com/algebra/homework/real-numbers/real-numbers.faq.question.48581.html

Answer 9

thanks guys! I will look at that link now @ehuman

Answer 10

I am gonna work it out and then post what I did to see if it is right

Answer 11

okay so first, I used the distributive property and I got x^2+x-2. Then I set it to 0 right?

Answer 12

rule# 2. If the discriminant is negative, there are two conjugate
complex solutions.
So I would imagine that the quadratic should be used to find the complex solutions

I think rule 3 fits your situation:
3. If the discriminant is positive, there are two real
solutions.
A. If the discriminant is a perfect square, the two real
solutions are rational.
B. If the discriminant is not a perfect square, the two
real solutions are irrational..

Answer 13

Well not that it fits your question, but a plus for when to use completing the square.

Answer 14

okay :-) So is the question asking me to solve the equation?

Answer 15

no, it is asking if completing the square is the right operation if the conjugate is negative, and tell why, read those three rules from the link and you should have justification and an explanation to give.

Answer 16

okay! Thank you very VERY much for your help!

Answer 17

I have to log off, good luck I'll check back in later.