how do i solve this problem?

label Algebra
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x^2+5x+6

Jun 19th, 2015

Thank you for the opportunity to help you with your question!

I guess your question is to solve x^2+5x+6=0. If not please precise which problem do you want to solve ? 

I'm here to help you. I'm waiting for your feedback. 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 19th, 2015

yes i need to know how to solve x^2+5x+6 . 

Jun 19th, 2015

can you solve it step by step for me? 

Jun 19th, 2015

It doesn"t mean anything to solve x^2+5x+6. Is your question to solve x^2+5x+6=0. You can solve an equation but you need 2 parts on it. 

Jun 19th, 2015

I want to help you but I need the complete question. 

Jun 19th, 2015

im supposed to diamond factor it.. im sorry i have no idea what im doing


Jun 19th, 2015

I Think that what you have to solve is x^2+5x+6=0 

Can you confirm me that ?

Jun 19th, 2015

yes

Jun 19th, 2015

Ok let's go, did you hear about the discriminant ? 

Jun 19th, 2015

no

Jun 19th, 2015

The discriminant is important to find the solutions of an equation like a*x^2+bx+c=0


Jun 19th, 2015

Exactly like what you have 

with a = 1 , b = 5 and c=6

The discriminant in the general case is D=b^2-4*a*c

So here D=25-4*6=25-24=1

and the solutions are in the general case x1=(-b-sqrt(D))/2a or x1=(-b+sqrt(D))/2a

So in this case x1=(-5-1)/2=-3 and x2=(-5+1)/2=-2

-3 and -2 are the solutions of the equation x^2+5x+6=0


Jun 19th, 2015

Also a factorisation of x^2+5x+6 is (x+3)(x+2) 

Jun 19th, 2015

Hope this helps !!!

Jun 19th, 2015

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