Solve the equation the square root of the quantity x plus 3 plus 4 equals 5 for the variable.

Answers

Answer 1

Answer: Domain: expression under square root is greater or equal than zero.

x+3>0
x>-3

Then:

$√(x+3)}+4=5 \qquad |-4 \n \n √(x+3)=1 \qquad |(...)^2 \n \n x+3=1 \n \n x=-2 \in D$

So the answer is x=-2

Answer 2

Answer:

Final answer:

By isolating the square root, squaring both sides to remove the square root, and then solving for x, the solution to the equation √(x + 3) + 4 = 5 is found to be x = -2.

Explanation:

To solve this equation, we start by isolating the square root. The equation given is √(x + 3) + 4 = 5. The first step is to subtract 4 from both sides of the equation to isolate the square root, resulting in √(x + 3) = 1.

Once the square root is isolated, we can square both sides of the equation to eliminate the square root, leading to x + 3 = 1² = 1.

Finally, subtract 3 from both sides, leaving us with the solution x = 1 - 3 = -2.

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