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. Jika a dan b bilangan bulat positif maka a - b adalah ….

begin mathsize 14px style Lim with x yields infinity below invisible function application open parentheses square root of 64 x squared plus ax plus 7 end root minus sign 8 x and b close parentheses equals 5 over 4 end style. Jika a dan b bilangan bulat positif maka - b adalah ….

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  2. 5

  3. 7

  4. 11

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Jawaban

a - b = 4 - 1 = 3

= 4 - 1 = 3

Pembahasan

Karena a dan b adalah bilangan bulat positif maka persamaan terakhir hanya dipenuhi oleh b = 1 dan a = 4 . Jadi a - b = 4 - 1 = 3

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Lim with straight x rightwards arrow straight infinity below invisible function application left parenthesis square root of 64 straight x squared plus ax plus 7 end root minus 8 straight x plus straight b right parenthesis end cell equals cell 5 over 4 end cell row cell Lim with straight x rightwards arrow straight infinity below invisible function application left parenthesis square root of 64 straight x squared plus ax plus 7 end root minus square root of open parentheses 8 straight x minus straight b close parentheses squared end root right parenthesis end cell equals cell 5 over 4 end cell row cell Lim with straight x rightwards arrow straight infinity below invisible function application left parenthesis square root of 64 straight x squared plus ax plus 7 end root minus square root of 64 straight x squared minus 16 bx plus straight b squared end root right parenthesis end cell equals cell 5 over 4 end cell row cell fraction numerator straight a plus 16 straight b over denominator 2 square root of 64 end fraction end cell equals cell 5 over 4 end cell row cell fraction numerator straight a plus 16 straight b over denominator 16 end fraction end cell equals cell 5 over 4 end cell row cell fraction numerator straight a plus 16 straight b over denominator blank 4 end fraction end cell equals 5 row cell straight a plus 16 straight b end cell equals 20 end table end style  

Karena a dan b adalah bilangan bulat positif maka persamaan terakhir hanya dipenuhi oleh = 1 dan = 4.

Jadi = 4 - 1 = 3

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