Answer: x has no solutions, y has no solutions
Step-by-step explanation:
y = x² - 3
x - y = 1
x - x² - 3 = 1
- x² - x - 3 = 1
- x² - x - 4 = 0
- x² - x - 16/4 = 0
- x² - x - 1/4 - 15/4 = 0
- (x² + x + 1/4) - 15/4 = 0
- (x+1/2)^2 - 15/4 = 0
- (x+1/2)^2 = 15/4
(x+1/2)^2 = -15/4 ==> x has no solutions, y has no solutions
any number to an even power, in this case to the power of 2, has to be positive, but -15/4 is negative.
