Solving the Equation (x+2)^2 = 3 + 10
This article will walk you through solving the equation (x+2)^2 = 3 + 10.
Simplifying the Equation
First, we need to simplify the right side of the equation:
(x+2)^2 = 13
Taking the Square Root
To get rid of the square on the left side, we take the square root of both sides:
√(x+2)^2 = ±√13
This leaves us with:
x + 2 = ±√13
Isolating x
Now, we need to isolate x. To do this, subtract 2 from both sides:
x = -2 ±√13
The Solutions
Therefore, the solutions to the equation (x+2)^2 = 3 + 10 are:
- x = -2 + √13
- x = -2 - √13
These are the two possible values of x that satisfy the original equation.