Given two series: Series I: 60, 120, 24, 48, 9.6, 19.2 Series II: 100, W, X, Y, Z, 32 Both series follow the same pattern. The roots of a quadratic eq...

Question

Given two series:

Series I: 60, 120, 24, 48, 9.6, 19.2

Series II: 100, W, X, Y, Z, 32

Both series follow the same pattern. The roots of a quadratic equation are yw\frac{y}{w} and wx16\frac{w - x}{16}, where w,x,yw, x, y are terms from Series II. Find the quadratic equation in variable rr with these roots.

Options

A.

r290r5+711=0r^2 - \frac{90r}{5} + \frac{7}{11} = 0

B.

r232r5+825=0r^2 - \frac{32r}{5} + \frac{8}{25} = 0

C.

r287r4+3=0r^2 - \frac{87r}{4} + 3 = 0

D.

r252r5+4=0r^2 - \frac{52r}{5} + 4 = 0

quadratic equationrootsnumber seriespattern recognition

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