Question

To solve the equation: 4x^2=100 you would use the inverse operation (blank) to get the equation: x^2=25

Answer 1

fill in the blank

Answer 2

You would then use the inverse operation (blank) to get x = (blank) because both values make the equation true when you substitute in for x in the original equation. (fill in the blanks, this is continuing the original same equation)

Answer 3

x = ±5 is not an option, the options are:
A: 100
B: 5 AND -5
C: -12.5
D: 4 AND -4
E: 5

Answer 4

To solve the equation 4x^2 = 100, you would divide both sides of the equation by 4 to isolate the x^2 term. This is the inverse operation of multiplying by 4.

4x^2 / 4 = 100 / 4

x^2 = 25

Answer 5

The correct answer is "dividing by 4."

Answer 6

You would use the inverse operation of taking the square root to get x = ±5 because both values make the equation true when you substitute in for x in the original equation.

Answer 7

In order to get x = ±5, you would take the square root of both sides of the equation x^2 = 25.

The answer would be:
B: 5 AND -5