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B
x=−1322
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C
x=457
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D
x=−6811
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Solution
The correct option is Cx=−6811 Wehave,x−47−x=5−x3+1⟹x−4−7x7=5−x+33[TakingLCMonLHSandRHS]⟹−6x−47=8−x3⟹3(−6x−4)=7(8−x)[Bycross−multiplication]⟹−18x−12=56−7x⟹−18x+7x=56+12[Transposing−7xtoLHSand−12toRHS]⟹−11x=68or,x=−6811