To solve the equation: 4x2=100 you would use the inverse operation Response area to get the equation: x2=25. You would then use the inverse operation Response area to get x = Response area because both values make the equation true when you substitute in for x in the original equation.

Question

Responces:
divison
5
multiplication
square
5 and -5
addition
square root
subtraction
4 and -4
-12.5
100

Answer 1

To solve the equation \(4x^2 = 100\):

1. First, divide both sides by 4 to isolate \(x^2\): \[ x^2 = 25 \] (The operation used here was division.)

2. Next, take the square root of both sides to solve for \(x\): \[ x = 5 \quad \text{or} \quad x = -5 \] (The operation used here was taking the square root.)

So, when filling in the response areas:

• For the first response area (inverse operation for dividing 4), you would write division.
• For the second response area (value of \(x\)), you would write 5 and -5.

Final response:

• division
• 5 and -5