Matematika

Pertanyaan

1. p^2 + q^2
2. 2pq
3. (p + q)^2
4. p = 3 - akar 5
5. q = 3 + akar 5

minta tolong dijawab

1 Jawaban

  • p = 3 - √5
    q = 3 + √5

    p^2 + q^2
    =( 3 - √5)^2 + ( 3 + √5)^2
    = (9 - 6√5 + 5) + (9+6√5+5)
    = 18 + 10
    = 28

    2pq = 2( 3 - √5)( 3 + √5)
    = 2(9 + 3√5 - 3√5 - 5)
    = 2(4)
    = 8

    (p+q)^2
    = [( 3 - √5)+( 3 + √5)]^2
    =[ (3+3)+(-√5+√5)]^2
    = 6^2
    = 36

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