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'.

Q: Answer-Let 's' represent the sum of the highest root of equations I and III, and 'r' denote the product of...

ATQ, 4 - 20a 28a a2 4a2 9a - 3 7 - 29a 24a2 0 7a2 - 29a 24 0 7a - 8a - 3 0 a 87, 3 Equation II b2 - 4b 2 18 2b - 5 8b2 - 32b 16 2b - 5 8b2 - 34b 21 0 4b - 32b - 7 0 b 34, 72 Equation III, c2 10.5 17c2 2c2 - 17c 21 0 2c - 3c - 7 0 c 32, 7 s 3 7 10 r 87 72 4 New Equation x - 10x - 4 0 x2 - 14x 40 0

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