jika x y = 1 ,yz =4 dan xz=9 hitung nilai xyz
Matematika
joshfira
Pertanyaan
jika x y = 1 ,yz =4 dan xz=9 hitung nilai xyz
1 Jawaban
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1. Jawaban Murva
x y = 1 ,yz =4 dan xz=9
hitung nilai xyz
x y = 1 => x = 1/y
yz =4 => z= 4/y
x.z = 1/y .4/y
9 = 4/ y^2
(9 × y^2)=4
y^2 = 4/9
y = 2/3 atau -2/3
Untuk y = 2/3
x = 1 / ( 2/3)
= 1 ×3/2=3/2
Z = 4 / ( 2/3)
=( 4×3)/2
=6
x.y.z = 3/2 ×2/3×6=6
Untuk y = -2/3
x = 1 / ( -2/3)
= 1 ×-3/2=-3/2
Z = 4 / ( -2/3)
=( 4×-3)/2
=-6
x.y.z =- 3/2 ×-2/3×-6= -6
Hp = 6 dan -6