Complete the table by providing justification for each step of the proof
conjecture: if 4(x^2-2)=28, then xis 3 or -3

4(x² - 2) = 28

1. Distribute the 4
4x² - 8 = -28

2. Plug in 3 and -3
4(3)² - 8 = 28
4(-3)² - 8 = 28

3. Square 3 and -3
4(9) - 8 = 28
4(9) - 8 = 28

28 = 28

The reason both answers are the same is because whenever you put a negative number to an even power, the result becomes positive because any negative multiplied by a negative number is always positive.
28 = 28

A situation this equation can represent is the amount of hair growth you have in a certain period of time

y= the amount (in inches) your hair has grown
1/20 represents 1/20 inch growing rate per day
x= the number of days that has passed

Hope this is acceptable!