%5E2-5%3D4.jpeg "(x+3)^2-5=4")
Solving the Equation: (x+3)^2 - 5 = 4
This article will walk you through the steps involved in solving the equation (x+3)^2 - 5 = 4.
Step 1: Isolate the squared term
To begin, we need to isolate the term that is being squared, (x+3)^2. We can do this by adding 5 to both sides of the equation:
(x+3)^2 - 5 + 5 = 4 + 5
This simplifies to:
(x+3)^2 = 9
Step 2: Take the square root of both sides
Now, we can take the square root of both sides of the equation to get rid of the square:
√(x+3)^2 = ±√9
This gives us:
x + 3 = ±3
Step 3: Solve for x
We now have two possible solutions:
Solution 1:
x + 3 = 3
Subtracting 3 from both sides, we get:
x = 0
Solution 2:
x + 3 = -3
Subtracting 3 from both sides, we get:
x = -6
Conclusion
Therefore, the solutions to the equation (x+3)^2 - 5 = 4 are x = 0 and x = -6.