03-09-2014
Mathematics

Answered

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

Answer :

03-09-2014

[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]

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