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Himpunan penyelesaian dari persamaan eksponen  ada...

Himpunan penyelesaian dari persamaan eksponen 4 to the power of square root of x cubed plus 2 x squared minus 3 x minus 6 end root end exponent minus 2 to the power of square root of 4 x squared plus 4 x minus 8 end root end exponent equals 0 adalah ...

  1. open curly brackets negative 1 half close curly brackets

  2. {0}

  3. open curly brackets 1 half close curly brackets

  4. {1}

  5. {2}

Jawaban:

4 to the power of square root of x cubed plus 2 x squared minus 3 x minus 6 end root end exponent minus 2 to the power of square root of 4 x squared plus 4 x minus 8 end root end exponent equals 0  2 to the power of 2 square root of x cubed plus 2 x squared minus 3 x minus 6 end root end exponent equals 2 to the power of square root of 4 x squared plus 4 x minus 8 end root end exponent  2 to the power of square root of 4 x cubed plus 8 x squared minus 12 x minus 24 end root end exponent equals 2 to the power of square root of 4 x squared plus 4 x minus 8 end root end exponent  square root of 4 x cubed plus 8 x squared minus 12 x minus 24 end root equals square root of 4 x squared plus 4 x minus 8 end root  4 x cubed plus 8 x squared minus 12 x minus 24 equals 4 x squared plus 4 x minus 8  4 x cubed plus 4 x squared minus 16 x minus 16 equals 0  x cubed plus x squared minus 4 x minus 4 equals 0  left parenthesis x plus 1 right parenthesis left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis equals 0  x equals negative 1 space logical or space x equals 2 space logical or x equals negative 2

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