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Question Number 90233 by jagoll last updated on 22/Apr/20

$$3,4,12,39,103,\mathrm{x}$$$$\left(\mathrm{a}\right)164$$$$\left(\mathrm{b}\right)170$$$$\left(\mathrm{c}\right)172$$$$\left(\mathrm{d}\right)228$$

Commented by john santu last updated on 22/Apr/20

$$4=3+1^3$$$$12=4+2^3$$$$39=12+3^3$$$$103=39+4^3$$$$x=103+5^3=228$$

Commented by peter frank last updated on 22/Apr/20

$$thankyou$$

Commented by MJS last updated on 22/Apr/20

$$\mathrm{if}\mathrm{we}\mathrm{want}\mathrm{a}\mathrm{polynomial}\mathrm{solution}$$$$\left(\mathrm{and}\mathrm{we}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{see}\mathrm{the}\mathrm{cubes}\mathrm{in}\mathrm{line}2\right)$$$$341239103x$$$$182764x-103$$$$71937x-167$$$$1218x-204$$$$6x-222$$$$\mathrm{if}x=228{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{a}\mathrm{polynome}\mathrm{of}{4}^{\mathrm{th}}\mathrm{degree}$$$$\mathrm{which}\mathrm{is}\mathrm{the}‘‘{\mathrm{cheapest}}^{″}\mathrm{solution}$$$$\mathrm{if}x\ne 228{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{a}\mathrm{polynome}\mathrm{of}{5}^{\mathrm{th}}\mathrm{degree}$$$$\mathrm{in}\mathrm{this}\mathrm{case}x\mathrm{can}\mathrm{be}\mathrm{any}\mathrm{number}\in \mathbb{C}$$

Commented by jagoll last updated on 22/Apr/20

$$\mathrm{in}\mathrm{line}2:1^3,2^3,3^3,4^3,5^3?$$$$$$

Commented by MJS last updated on 22/Apr/20

$$\mathrm{yes}.x-103=5^3$$$${\mathrm{that}}^{\prime }\mathrm{s}\mathrm{what}\mathrm{Sir}\mathrm{John}\mathrm{Santu}\mathrm{found}$$

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