Matematika

Pertanyaan

JIKA AKAR 2-AKAR 3/AKAR 2+AKAR 3= A+B AKAR 6,A DAN B BILANGAN BULAT,MAKA A+B=

2 Jawaban

  • : akar 2 - akar 3 / akar 2 + akar 3 = A + B akar 6
    : akar 2 - akar 3 akar 2 - akar 3
    -------------------- = ---------------------- = A+B akar 6
    akar 2 + akar 3 akar 2 - akar 3
    : 2 - 12 +3
    ------------- = A + B akar 6
    2 - 3
    : - 7
    ------ = A + B akar 6
    - 1
    : 7 / 6 = A + B
  • (√2 - √3)/(√2 + √3) = A + B√6
    (√2 - √3)/(√2 + √3) . (√2 - √3)/(√2 - √3) = A + B√6
    (2 - 2√6 + 3)/(2 - 3) = A + B√6
    (5 - 2√6)/(-1) = A + B√6
    -5 + 2√6 = A + B√6
    A = -5 dan B = 2
    A + B = -5 + 2 = -3

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