Selesaikan sistem persamaan 3x2-2y2=57 dan 2x2-3y2=23
Matematika
Robiatulhalisna
Pertanyaan
Selesaikan sistem persamaan 3x2-2y2=57 dan 2x2-3y2=23
1 Jawaban
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1. Jawaban kafista
3x^2-2y^2=57 (×2)
2x^2-3y^2=23 (×3)
=> 6x^2-4y^2=114
6x^2-9y^2=69
_____________ _
5y^2=45
y^2=9
y=3
6x^2-9y^2=69
6x^2-9(3)^2=69
6x^2-81=69
6x^2=69+81
6x^2=150
x^2=150/6
X^2=25
X=5