Solution Set for the Equation 6x² – 24 = 0
To find the solution set for the equation 6x² – 24 = 0, we can follow these steps:
Step 1: Add 24 to both sides
First, let’s isolate the term with x² by adding 24 to both sides of the equation:
6x² - 24 + 24 = 0 + 24
This simplifies to:
6x² = 24
Step 2: Divide by 6
Next, divide both sides by 6 to simplify further:
x² = 24 / 6
This gives us:
x² = 4
Step 3: Take the square root
Now we can take the square root of both sides to solve for x:
x = ±√4
This results in:
x = ±2
Step 4: Write the solution set
Therefore, the solution set for the equation 6x² – 24 = 0 is:
{ -2, 2 }
This means that the values of x that satisfy the equation are -2 and 2.