Matematika

Pertanyaan

(X+2)²/25 - (y-1)²/144=1

2 Jawaban

  • (x+2)²/25-(y-1)²/144 = 1
    x²+4x+4/25 - (y²-2y+2)/144 = 1
    x²+4x+4/25 -y²+2y-2/144 = 1
  • Dari rumus
    a²-b²=(a+b)(a-b)
    ((x+2/5 + (y-1)/12))((x+2/5 - (y-1)/12))=1
    Yg dalam kurung samakan penyebutnya
    (12(x+2)+5(y-1) per 60))((12(x+2)-5(y-1) per 60)) =1
    ((12x+24+5y-5)/60))((12x+24-5y+5)/60)) =1
    ((12x+5y+19)/60)) ((12x-5y+29)/60)) =1
    (12x+5y+19)(12x-5y+29)=3600
    144x²-60xy+348x+60xy-25y²+145y+228x-95y+551=3600
    144x²+576x+50y-25y²-3049=0

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