Pertanyaan

hitunglah nilai konstanta a dan b , jika diketahui : b. x + 3 a + x − 2 b = x 2 + x − 6 6 x

hitunglah nilai konstanta $a$ dan $b$ , jika diketahui :

b. $\frac{a}{x + 3} + \frac{b}{x - 2} = \frac{6 x}{x ^{2} + x - 6}$

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Jawaban terverifikasi

Jawaban

nilai

Pembahasan

dengan metode eliminasi: Jadi, nilai

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a over denominator x plus 3 end fraction plus fraction numerator b over denominator x minus 2 end fraction end cell equals cell fraction numerator 6 x over denominator x squared plus x minus 6 end fraction end cell row cell fraction numerator a left parenthesis x minus 2 right parenthesis plus b left parenthesis x plus 3 right parenthesis over denominator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell equals cell fraction numerator 6 x over denominator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell row cell fraction numerator a x plus b x minus 2 a plus 3 b over denominator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell equals cell fraction numerator 6 x over denominator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction end cell row cell a x plus b x minus 2 a plus 3 b end cell equals cell 6 x end cell row cell x left parenthesis a plus b right parenthesis minus 2 a plus 3 b end cell equals cell 6 x end cell row cell m a k a end cell equals cell open curly brackets table attributes columnalign left end attributes row cell a plus b equals 6 end cell row cell negative 2 a plus 3 b equals 0 end cell end table close end cell row blank blank blank row blank blank blank end table end style$

dengan metode eliminasi:

Jadi, nilai