Discover a world of knowledge and community-driven answers at IDNLearn.com today. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

How do we solve an equation by factoring?
Problems such as x² - 9 = 0 and x²  + 13x = -36.


Sagot :

[tex]1.\\x^2-9=0\\ Using\ formula:\\ a^2-b^2=(a-b)(a+b)\\ x^2-9=0\\ x^2-3^2=0\\ (x-3)(x+3)=0\\\\ Asnwer:\ \ x^2-9=(x-3)(x+3)\\\\2.\\x^2+13x=-36\\ x^2+13x+36=0\\ Write\ 13x\ as\ 9x+4x\\x^2+9x+4x+36=0\\ x(x+4)+9(x+4)=0\\(x+4)(x+9)=0\\\\Answer:\ \ x^2+13x+36=(x+4)(x+9)[/tex]