Final answer:
The correct answer is D. (-1,-2). By substituting the x-value from each ordered pair into the equation y = x² - x, we find that only the ordered pair D yields the corresponding y-value matching the equation.
Step-by-step explanation:
The question asks us to determine which ordered pair is a solution to the quadratic equation y = x² - x. To do this, we need to substitute the x-value of each ordered pair into the equation and check whether the resulting y-value matches the one in the ordered pair.
- For A. (-4,-60), substituting x = -4 gives us y = (-4)² - (-4) = 16 + 4 = 20, which does not match -60, so A is not the solution.
- For B. (-3,-24), substituting x = -3 gives us y = (-3)² - (-3) = 9 + 3 = 12, which does not match -24, so B is not the solution.
- For C. (-2,-2), substituting x = -2 gives us y = (-2)² - (-2) = 4 + 2 = 6, which does not match -2, so C is not the solution.
- For D. (-1,-2), substituting x = -1 gives us y = (-1)² - (-1) = 1 + 1 = 2, which does match -2, so D is the correct solution.
Therefore, the ordered pair that is a solution to the equation y = x² - x is D. (-1,-2).