Question

Let 's' represent the sum of the highest root of equations I and III, and 'r' denote the product of the lowest root of equation I and the highest root of equation
II.Determine the new equation if the roots of this equation are 's'and 'r'.

Solve the three equations and construct a new equation in variable 'c' (reduced to the lowest possible factor) using roots of equations I, II, and III, following the instructions provided below.
A x² - 14x + 40 = 0
B x² - 18x + 72 = 0
C x² - 24x + 80 = 0
D x² - 13x + 58 = 0
E none of these
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