Matematika

Pertanyaan

jika( 2×+3y)(p×+qy)=r×^2+23×y+12y^2 maka nilai r adl

2 Jawaban

  • (2x + 3y) (px + qy) = 2px^2 + 2qxy + 3pxy = 3qy^2
    = 2px^2 + (2q + 3p) xy + 3qy^2 = rx^2 + 23xy + 12y^2
    maka
    #3q = 12 <=> q = 4
    #(2q + 3p) = 23
    2(4) + 3p = 23
    3p = 15
    p = 5

    #2p = r
    2(5) = r
    r = 10.
  • (2x+3y)(px+qy) = rx2 + 23xy + 12y2
    2px2+2qxy+3pxy+3qy2 = rx2 + 23xy + 12y2
    2px2 + (2q+3p)xy + 3qy2 = rx2 +23xy + 12y2
    r=2p


    *semoga membantu
    *tolong jadikan jawaban terbaik ya, plis

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