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Mathematics 17 Online
OpenStudy (anonymous):

xsquared+2x-15=0

OpenStudy (akashdeepdeb):

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! :)

OpenStudy (akashdeepdeb):

Complete it btw! :) Getting this? :D

OpenStudy (anonymous):

Not at all. Where did yoyu get 5-3 in place of 2?

OpenStudy (anonymous):

you*

OpenStudy (akashdeepdeb):

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? :)

OpenStudy (akashdeepdeb):

Solve this: x2 + 5x + 6

OpenStudy (anonymous):

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.

OpenStudy (akashdeepdeb):

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? :)

OpenStudy (anonymous):

Ooo. Im starting to. I know how to get the two numbers now. Will those two numbers always be the solution?

OpenStudy (akashdeepdeb):

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

OpenStudy (anonymous):

x=-3 and x=-4?

OpenStudy (akashdeepdeb):

EXCELLENT!! :D See you got it! :D

OpenStudy (anonymous):

Alright thanks :)

OpenStudy (akashdeepdeb):

:)

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