IDNLearn.com offers a reliable platform for finding accurate and timely answers. Our platform is designed to provide quick and accurate answers to any questions you may have.
Sagot :
To solve the equation [tex]\(\sqrt{x+5} - 3 = 4\)[/tex], we need to follow these steps carefully:
1. Isolate the square root term:
First, add 3 to both sides to isolate the term with the square root.
[tex]\[ \sqrt{x+5} - 3 + 3 = 4 + 3 \][/tex]
Simplifying this, we get:
[tex]\[ \sqrt{x+5} = 7 \][/tex]
2. Eliminate the square root:
Next, square both sides of the equation to remove the square root.
[tex]\[ (\sqrt{x+5})^2 = 7^2 \][/tex]
This simplifies to:
[tex]\[ x + 5 = 49 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
Finally, solve for [tex]\( x \)[/tex] by subtracting 5 from both sides.
[tex]\[ x + 5 - 5 = 49 - 5 \][/tex]
Simplifying this, we get:
[tex]\[ x = 44 \][/tex]
Thus, the solution to the equation [tex]\(\sqrt{x+5} - 3 = 4\)[/tex] is:
[tex]\[ x = 44 \][/tex]
So the correct answer is:
[tex]\[ x = 44 \][/tex]
1. Isolate the square root term:
First, add 3 to both sides to isolate the term with the square root.
[tex]\[ \sqrt{x+5} - 3 + 3 = 4 + 3 \][/tex]
Simplifying this, we get:
[tex]\[ \sqrt{x+5} = 7 \][/tex]
2. Eliminate the square root:
Next, square both sides of the equation to remove the square root.
[tex]\[ (\sqrt{x+5})^2 = 7^2 \][/tex]
This simplifies to:
[tex]\[ x + 5 = 49 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
Finally, solve for [tex]\( x \)[/tex] by subtracting 5 from both sides.
[tex]\[ x + 5 - 5 = 49 - 5 \][/tex]
Simplifying this, we get:
[tex]\[ x = 44 \][/tex]
Thus, the solution to the equation [tex]\(\sqrt{x+5} - 3 = 4\)[/tex] is:
[tex]\[ x = 44 \][/tex]
So the correct answer is:
[tex]\[ x = 44 \][/tex]
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.