bantu dong kak nomer 1 dan 2
Matematika
hallo16
Pertanyaan
bantu dong kak nomer 1 dan 2
1 Jawaban
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1. Jawaban arsetpopeye
1) [(1 + 2m^-1)/(2^-1 - m^-1)] [(m - 2)/(2m^-1)]
= [(1 + 2/m)/(1/2 - 1/m)] . [(m - 2)/(2/m)
= [(m + 2)/m / (m - 2)/2m] . [m(m - 2)/2]
= (m + 2)/m . 2m/(m - 2) . m(m - 2)/2
= (m + 2) . 2m . m(m - 2) / m(m - 2) . 2
= (m + 2) . m
= m (m + 2)
2) x^2 + (m - 2)x + 9 = 0 mempunyai akar-akar nyata jika D ≥ 0
b^2 - 4ac ≥ 0
(m - 2)^2 - 4(1)(9) ≥ 0
m^2 - 4m + 4 - 36 ≥ 0
m^2 - 4m - 32 ≥ 0
(m - 8)(m + 4) ≥ 0
m = 8 atau m = -4
++++ (-4) ---- (8) ++++
m ≤ -4 atau m ≥ 8