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17 points please show your work Solve. x^2+5x+6=0
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17 points
please show your work

Solve. x^2+5x+6=0

User Kadeem
by
8.4k points

1 Answer

2 votes

Answer:

x = -2 or x = -3

Explanation:


x^2+5x+6=0\\\\x^2+2x+3x+6=0\\\\x(x+2)+3(x+2)=0\\\\(x+2)(x+3)=0\iff x+2=0\ \vee\ x+3=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\x=-2\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3

User Ozgur Sar
by
8.5k points
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