Question

Solve the given two equations and answer the two

Q: Answer-Solve the given two equations and answer the two questions that follow as per the instructions given...

ATQ, Equation I, 14 7.5p-2 3.625p-1 7.5p2- 3.625p 14 0 30 - 14.5p p2 0 p - 2.5p - 12 0 p 2.5, 12 Equation II, 0.5q2- 3.25q 6 q2 - 6.5q - 12 0 q 1.5q - 8 0 q - 1.5, 8 Roots of Equation III - 1.5, 12 Equation III, r 1.5r - 12 0 r2 - 10.5z - 18 0 2r2 - 21r 36

questions that follow as per the instructions given below. I. (1/4) + 7.5p(-2) = 3.625p (-1) II. 0.5q2 - 3.25q = 6 Suppose the smaller root of equation 'II' and the greater root of equation 'I' are utilized to construct a new equation 'III' in terms of the variable 'r', which of the following represents equation 'III'?

A 2r² - 21r = 36

B r² - 23r = 36

C 4r² - 18r = 35

D Can't be determine

E None of these