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Question

Using the properties of proportion, solve the following equation for x.

x3+3x3x2+1=34191
  1. 11

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Solution

The correct option is A 11
Given: x3+3x3x2+1=34191
Applying componendo and dividendo, we get;

x3+3x+3x2+1x3+3x3x21=341+9134191

(x+1)3(x1)3=432250=216125 [(a+b)3=a3+b3+3ab(a+b)]

(x+1)3(x1)3=216125=(65)3

x+1x1=65

Again, appplying componendo and dividendo we get:

x+1+x1x+1x+1=6+565

2x2=111x=11

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