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Persamaan garis singgung hiperbola 8 x 2 − 2 y 2 = 1 di titik ( 4 , 2 2 ) adalah….

Persamaan garis singgung hiperbola $\frac{x ^{2}}{8} - \frac{y ^{2}}{2} = 1$ di titik $(4, 22)$ adalah….

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Gunakan kaidah membagi adil:

$x squared over 8 minus fraction numerator begin display style y squared end style over denominator begin display style 2 end style end fraction equals 1 fraction numerator begin display style x subscript 1 x end style over denominator begin display style 8 end style end fraction minus fraction numerator begin display style y subscript 1 y end style over denominator begin display style 2 end style end fraction equals 1 fraction numerator begin display style left parenthesis 4 right parenthesis x end style over denominator begin display style 8 end style end fraction minus fraction numerator begin display style open parentheses 2 square root of 2 close parentheses y end style over denominator begin display style 2 end style end fraction equals 1 fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction x minus square root of 2 y equals 1 x minus 2 square root of 2 y equals 2 x minus 2 square root of 2 y minus 2 equals 0$