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Question

Using properties of proportional, solve the following equation for x:x3+3x3x2+1=34191

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Solution

x2+3x3x2+1=34191

using dividendo and componendo rule

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

(x+1)3(x1)3=432250=(65)3

(x+1)(x1)=65

using cross-product, we get

5(x+1)=6(x1)

5x+5=6x6

x=11 (Answer)

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