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irga5000 [103]
3 years ago
8

Solve the equation sqrt x+3+4 =5 for the variable. Show each step of your solution process.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Domain:\\x+3\geq0\to x\geq-3\\\\\sqrt{x+3}+4=5\ \ \ \ |-4\\\\\sqrt{x+3}=1\ \ \ |^2\\\\(\sqrt{x+3})^2=\pm1^2\\\\x+3=\pm1\ \ \ \ |-3\\\\x=-4\notin D\ \vee\ x=-2\in D\\\\Answer:\ \boxed{x=-2}

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