Question

1. solve for x: (sqrt{x + 37} + 8 = 14)

Explanation:

Step 1: Isolate the square root term

Subtract 8 from both sides of the equation to isolate the square root.
$\sqrt{x + 37} + 8 - 8 = 14 - 8$
$\sqrt{x + 37} = 6$

Step 2: Eliminate the square root

Square both sides of the equation to get rid of the square root.
$(\sqrt{x + 37})^2 = 6^2$
$x + 37 = 36$

Step 3: Solve for x

Subtract 37 from both sides to solve for x.
$x + 37 - 37 = 36 - 37$
$x = -1$

Answer:

$x = -1$