Matematika

Pertanyaan

Tentukan himpunan penyelesaian dari sistem persamaan campuran linear dan kuadrat y=3x-2 y=2x²+x-6

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  • [tex] < = > y = y \\ < = > 3x - 2 = 2 {x}^{2} + x - 6 \\ < = > 2 {x}^{2} + x - 3x - 6 + 2 = 0 \\ < = > 2 {x}^{2} - 2x - 4 = 0 \\ < = > {x}^{2} - x - 2 = 0 \\ < = > {x}^{2} -2 x + x - 2 = 0 \\ < = > ( {x}^{2} - 2x) + (x - 2) = 0 \\ < = > x(x - 2) + (x - 2) = 0 \\ < = > (x + 1)(x - 2) = 0 \\ < = > x = - 1 \: atau \: x = 2[/tex]

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