Fourth root of x = 4 x ^{4}\sqrt{x}

Level 2

Find the fourth root of the equation: x 4 + 96 x 2 + 256 = 16 x 3 + 256 x x^{4}+96x^{2}+256=16x^{3}+256x

Round off the answer to the nearest thousandths.

This is an entry in the Troll King Contest

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The answer is 4.000.

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1 solution

Kho Yen Hong
Mar 23, 2015

After rearranging and factorizing, we get ( x 4 ) 4 = 0 (x-4)^{4}=0 then we get x=4

Fourth root of x = 4 x = 1.414... ^{4}\sqrt{x} = 1.414... (to the nearest thousandths.) ------- You have been trolled!! ( x 4 ) 4 = 0 (x-4)^{4}=0 the four roots are 4 , 4 , 4 , 4 4,4,4,4 Then the fourth root of the equation = 4.000(to the nearest thousandths.) :)

LOL Trolled . . .

Satvik Golechha - 6 years, 2 months ago

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