Solve for x. Show ALL of your work
96 = x2−4
To solve for x, we need to isolate the variable on one side of the equation.
First, we add 4 to both sides to get:
96 + 4 = x^2 - 4 + 4
100 = x^2
Next, we take the square root of both sides to get:
√100 = √(x^2)
10 = x
Therefore, x = 10.
To solve for x, we need to isolate the variable on one side of the equation. Here's the step-by-step solution:
1. Start with the given equation: 96 = x^2 - 4.
2. Add 4 to both sides of the equation to eliminate the constant term on the right side: 96 + 4 = x^2 - 4 + 4
Simplifying the equation: 100 = x^2.
3. Take the square root of both sides of the equation to solve for x: √100 = √(x^2).
Simplifying the equation: 10 = x.
4. Therefore, x = 10 is the solution to the equation.
So, the solution for x is 10.