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GREYUIT [131]
2 years ago
8

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

Mathematics
1 answer:
timama [110]2 years ago
8 0

Answer:

<h2>x = -2 or x = -3</h2>

Step-by-step 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

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