Pertanyaan

Tentukan nilai b yang memenuhi persamaan x → ∞ lim ( a x + b − 9 x 2 − 6 x + 5 ) = 8 .

Tentukan nilai $b$ yang memenuhi persamaan $x \to \infty lim (a x + b - 9 x^{2} - 6 x + 5) = 8$ .

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

nilai yang memenuhi persamaan adalah .

nilai

yang memenuhi persamaan limit as x rightwards arrow infinity of open parentheses a x plus b minus square root of 9 x squared minus 6 x plus 5 end root close parentheses equals 8

limit as x rightwards arrow infinity of open parentheses a x plus b minus square root of 9 x squared minus 6 x plus 5 end root close parentheses equals 8

adalah

Pembahasan

Nilai ada jika Ingatlah! Maka, Jadi,nilai yang memenuhi persamaan adalah .

Nilai table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open square brackets open parentheses square root of a squared x squared plus 0 x end root minus square root of 9 x squared minus 6 x plus 5 end root close parentheses plus b close square brackets end cell equals 8 end table ada jika

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of a squared end root end cell equals cell square root of 9 end cell row a equals 3 end table

Ingatlah!

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses square root of p x squared plus q x plus r end root minus square root of w x squared plus y x plus z end root close parentheses end cell equals cell fraction numerator q minus y over denominator 2 square root of p end fraction end cell row q equals 0 row y equals cell negative 6 end cell row p equals 9 end table$

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses fraction numerator 0 minus left parenthesis negative 6 right parenthesis over denominator 2 square root of 9 end fraction close parentheses plus limit as x rightwards arrow infinity of b end cell equals 8 row cell fraction numerator 0 plus 6 over denominator 2 open parentheses 3 close parentheses end fraction plus b end cell equals 8 row cell 6 over 6 plus b end cell equals 8 row cell 1 plus b end cell equals 8 row b equals cell 8 minus 1 end cell row b equals 7 row blank blank blank end table$

Jadi, nilai yang memenuhi persamaan limit as x rightwards arrow infinity of open parentheses a x plus b minus square root of 9 x squared minus 6 x plus 5 end root close parentheses equals 8 adalah .

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