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Jika a dan b merupakan akar-akar persamaan , maka ...

Jika a dan b merupakan akar-akar persamaan begin mathsize 14px style log presuperscript open parentheses 1 plus vertical line x vertical line close parentheses end presuperscript space left parenthesis 3 x plus 7 right parenthesis equals 2 end style , maka a + b = ....

  1. -2

  2. 1

  3. 2

  4. 3

  5. 4

Jawaban:

begin mathsize 14px style Syarat space bilangan space pokok space left parenthesis basis right parenthesis colon  Syarat space 1 colon  1 plus vertical line straight x vertical line greater than 0 comma space karena space vertical line straight x vertical line space nilainya space paling space kecil space 0 comma space maka  1 plus vertical line straight x vertical line greater than 0 space berlaku space untuk space straight x element of straight R  Syarat space 2 colon  1 plus open vertical bar straight x close vertical bar not equal to 1  open vertical bar straight x close vertical bar not equal to 0  straight x not equal to 0    Mencari space penyelesaiannya colon  log presubscript straight space presuperscript left parenthesis 1 plus open vertical bar straight x close vertical bar right parenthesis end presuperscript space invisible function application open parentheses 3 straight x plus 7 close parentheses equals 2  open parentheses 3 straight x plus 7 close parentheses equals open parentheses 1 plus open vertical bar straight x close vertical bar close parentheses squared  3 straight x plus 7 equals 1 plus 2 straight x plus straight x squared  straight x squared minus straight x minus 6 equals 0  straight x subscript 1 plus straight x subscript 2 equals negative straight b over straight a equals negative open parentheses fraction numerator negative 1 over denominator 1 end fraction close parentheses equals 1 end style

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