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Jika diketahui dan bersinggungan, maka

Jika diketahui y equals 2 to the power of 3 x squared plus c x minus 1 end exponent dan y equals 4 to the power of x squared minus c over 2 end exponent bersinggungan, maka c squared plus c space equals space...

  1. 2

  2. 6

  3. 12

  4. 20

  5. 30

Jawaban:

straight y subscript 1 equals straight y subscript 2  2 to the power of 3 straight x squared plus cx minus 1 end exponent equals 4 to the power of straight x squared minus straight c over 2 end exponent  2 to the power of 3 straight x squared plus cx minus 1 end exponent equals 2 to the power of 2 open parentheses straight x squared minus straight c over 2 close parentheses end exponent  2 to the power of 3 straight x squared plus cx minus 1 end exponent equals 2 to the power of 2 straight x squared minus straight c end exponent  3 straight x squared plus cx minus 1 equals 2 straight x squared minus straight c  3 straight x squared minus 2 straight x squared plus cx plus straight c minus 1 equals 0  box enclose straight x squared plus cx plus straight c minus 1 equals 0 end enclose    Karena space kedua space fungsi space bersinggungan comma space maka  straight D equals 0  straight c squared minus 4 open parentheses 1 close parentheses open parentheses straight c minus 1 close parentheses equals 0  straight c squared minus 4 straight c plus 4 equals 0  open parentheses straight c minus 2 close parentheses squared equals 0  straight c minus 2 equals 0  box enclose straight c equals 2 end enclose    Maka  straight c squared plus straight c equals 2 squared plus 2 equals box enclose 6

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