Answer the question or provide the appropriate response.Which of the following methods may be used to show that there cannot be two real numbers that have a difference of 5 and a product of -25? (More than one method may be correct.)(i) Graph the function y = x2 - 5x + 25 and observe that the graph has no x-intercepts.(ii) Determine that the discriminant of the equation x2 - 5x + 25 = 0 is negative.(iii) Graph the function y = x2 - 5x + 25 and observe that the vertex lies above the x-axis.(iv) Graph the functions y1 = x2 - 5x and y2 = 25 and observe that these graphshave no points of intersection.
A. (i) only
B. (i), (ii), (iv)
C. (i), (ii), (iii), (iv)
D. (i), (iv)
Answer: C
Mathematics
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