xsquared+2x-15=0
x2 + (5-3)x - 15 = 0 x2 + 5x - 3x - 15 x(x+5) -3(x+5) For these types of questions ALWAYS SPLIT THE MIDDLE TERM! :)
Complete it btw! :) Getting this? :D
Not at all. Where did yoyu get 5-3 in place of 2?
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Good question! To get the 5 and 3! We rquire this procedure! Let us say we did NOT know that! Let p and q be those 2 numbers! The trick here is that! p*q should be = 15(In this case) [Which is the last constant term] And p+q or p-q should be 2(In this case) [Which is the middle constant term with x] Getting this? :)
Solve this: x2 + 5x + 6
I have no idea. I can get part of it by just basing it off of what you did for the other one. It also doesn't help I have to keep recovering the webpage and the screen with the problem keeps bouncing all around because of ads or something that keep appearing and disappearing.
Let me solve this for you and see if it helps! x2 + 5x + 6 STEP 1: Okay so now we need 2 numbers that would give their product as 6 And would give there sum or difference as 5 STEP 2: I think we are safe with 2 and 3 Because they multiply to give 6 and add to to give 5 [YIPPE!] STEP 3: Let us put this in the expression by splitting the middle terms. STEP 4: x2 + (2+3)x + 6 x2 + 2x + 3x +6 x(x+2) + 3(x+2) (x+3)(x+2) STEP 5: So the solutions are -3 and -2! :D Getting this? :)
Ooo. Im starting to. I know how to get the two numbers now. Will those two numbers always be the solution?
Yes the opposite of the 2 numbers! Like for (x+3)(x+2) the solution is -3,-2 And for your question (x-3)(x+5) the solution is +3,-5 Getting it? :) Now! Do this now: x2 + 7x + 12!! :D Try it come on! :D
x=-3 and x=-4?
EXCELLENT!! :D See you got it! :D
Alright thanks :)
:)
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