To solve the equation: 4x^2=100 you would use the inverse operation________ to get the equation: x^2=25. You would then use the inverse operation ______ to get x = _______ because both values make the equation true when you substitute in for x in the original equation.

Answer 1

To solve the equation 4x^2 = 100, you would use the inverse operation of multiplication, which is division, to get x^2 = 25.

Then, you would use the inverse operation of squaring a number, which is taking the square root, to get x = ±5, because both 5 and -5 make the equation true when you substitute them into the original equation:

4(5)^2 = 100
4(25) = 100
100 = 100

Similarly,

4(-5)^2 = 100
4(25) = 100
100 = 100

Therefore, x = ±5.