Pertanyaan

Akar-akar persamaan kuadrat 2 x 2 − 5 x + 6 = 0 adalah x 1 dan x 2 • Nilai dari x 2 x 1 + x 1 x 2 adalah ...

Akar-akar persamaan kuadrat $2 x^{2} - 5 x + 6 = 0$ adalah $x_{1} dan x_{2}$ • Nilai dari $\frac{x _{1}}{x _{2}} + \frac{x _{2}}{x _{1}}$ adalah ...

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Habis dalam

Klaim

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$2 straight x squared space minus space 5 straight x space minus space 6 space equals space 0 space rightwards arrow space straight a space equals 2 semicolon space straight b space equals negative 5 semicolon space straight c equals 6 straight x subscript 1 plus straight x subscript 2 equals negative straight a over straight b equals 5 over 2 straight x subscript 1 space. space straight x subscript 2 equals straight c over straight a equals 6 over 2 equals 3 straight x subscript 1 over straight x subscript 2 plus straight x subscript 2 over straight x subscript 1 equals fraction numerator straight x subscript 1 squared plus straight x subscript 2 squared over denominator straight x subscript 1. straight x subscript 2 end subscript end fraction equals fraction numerator open parentheses begin display style 5 over 3 end style close parentheses squared minus 2.3 over denominator 3 end fraction equals fraction numerator begin display style 25 over 4 minus 6 over 1 end style over denominator 3 end fraction equals fraction numerator 25 minus 24 over denominator 4 end fraction.1 third equals 1 fourth.1 third equals 1 over 12$