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Himpunan penyelesaian dari persamaan 3 x +1 2 x 2 - 8 = 5 x - 3 2 x 2 - 8 adalah ....

Himpunan penyelesaian dari persamaan open parentheses 3 x plus 1 close parentheses to the power of 2 x squared minus 8 end exponent equals open parentheses 5 x minus 3 close parentheses to the power of 2 x squared minus 8 end exponent adalah ....

  1. Error converting from MathML to accessible text.

  2. open curly brackets negative 2 comma space 1 close curly brackets

  3. open curly brackets negative 2 comma space 2 close curly brackets

  4. open curly brackets 0 comma space 1 close curly brackets

  5. left curly bracket 0 comma space 2 right curly bracket

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open parentheses 3 straight x plus 1 close parentheses to the power of 2 straight x squared minus 8 end exponent equals open parentheses 5 straight x minus 3 close parentheses to the power of 2 straight x squared minus 8 end exponent comma space maka 1. right parenthesis space space 3 straight x plus 1 equals 5 straight x minus 3 space space space space space space space space space space space space space space space minus 2 straight x equals negative 4 space space space space space space space space space space space space space space space space straight x equals 2 2. right parenthesis space space 2 straight x squared minus 8 equals 0 space space space space space space space straight x squared minus 4 equals 0 space space space space space space left parenthesis straight x plus 2 right parenthesis left parenthesis straight x minus 2 right parenthesis equals 0 space space space space space space straight x equals negative 2 space atau space straight x equals 2 space space space space space space Asalkan space untuk space straight x equals negative 2 colon space space space space space space space straight f left parenthesis straight x right parenthesis equals 3 straight x plus 1 space space space space space space space straight f left parenthesis negative 2 right parenthesis equals 3 left parenthesis negative 2 right parenthesis plus 1 equals negative 5 space space space space space space space dan space space space space space space space straight g left parenthesis straight x right parenthesis equals 5 straight x minus 3 space space space space space space space straight g left parenthesis negative 2 right parenthesis equals 5 left parenthesis negative 2 right parenthesis minus 3 equals negative 13 space space space space space space Sedangkan space untuk space straight x equals 2 comma space maka colon space space space space space space straight f left parenthesis straight x right parenthesis equals 3 straight x plus 1 space space space space space space space straight f left parenthesis 2 right parenthesis equals 3.2 plus 1 equals 7 space space space space space space dan space space space space space space space straight g left parenthesis straight x right parenthesis equals 5 straight x minus 3 space space space space space space space straight g left parenthesis 2 right parenthesis equals 5.2 minus 3 equals 7 space space space space space space Karena space straight f left parenthesis straight x right parenthesis not equal to 0 space dan space straight g left parenthesis straight x right parenthesis not equal to 0 comma space maka space space space space space space space nilai space straight x equals negative 2 space dan space straight x equals 2 space memenuhi. Jadi comma himpunan space penyelesaiannya space adalah colon open curly brackets negative 2 comma 2 close curly brackets.

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