Question

C) Let us fill in the blanks :
If the product of three positive consecutive numbers is 64, then their mean proportional
is______?​

Answer 1

Answer:

let the 3 concecutive numbers be x, x+1 x+2

According to the question (x) * (x+1) * (x+2)

64 = (x^2 + x) x (x+2)

64 = x^2 (x + 2) + x (x + 2)

64 = x^3 + 2x^2 + x^2 + 2x

64 = x^3 + 3x^2 + 2x

O = (x^3 + 3x^2) + (2x - 64)

= x^2 (x+3) + 2 (x-32)

= (x^2 + 2) + (x + 3) + (x-32)

therefore

x = root-2. not possible

X=-3

x = 32

Step-by-step explanation:

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