Question

Solve the equation the square root of the quantity x plus 4 minus 3 equals for the variable. Show each step of your solution process.

Answer 1

√(x + 4) - 3 = 0 is x = 5.

Explanation:

To solve the equation √(x + 4) - 3 = 0, we can follow these steps:

Step 1: Add 3 to both sides of the equation to isolate the square root term:

√(x + 4) = 3

Step 2: Square both sides of the equation to eliminate the square root:

(√(x + 4))^2 = 3^2

Simplifying:

x + 4 = 9

Step 3: Subtract 4 from both sides of the equation to isolate the variable x:

x = 9 - 4

Simplifying:

x = 5

Thus, the solution to the equation √(x + 4) - 3 = 0 is x = 5.