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Question Number 61320 by behi83417@gmail.com last updated on 31/May/19

solve for x:           x^4 −x=12

$$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{x}}: \\ $$$$\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}}^{\mathrm{4}} −\boldsymbol{\mathrm{x}}=\mathrm{12} \\ $$

Answered by MJS last updated on 31/May/19

no “beautiful” solution  x_1 ≈−1.787646  x_2 ≈1.931983  x_(3, 4) ≈−.07216857±1.862613

$$\mathrm{no}\:``\mathrm{beautiful}''\:\mathrm{solution} \\ $$$${x}_{\mathrm{1}} \approx−\mathrm{1}.\mathrm{787646} \\ $$$${x}_{\mathrm{2}} \approx\mathrm{1}.\mathrm{931983} \\ $$$${x}_{\mathrm{3},\:\mathrm{4}} \approx−.\mathrm{07216857}\pm\mathrm{1}.\mathrm{862613} \\ $$

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