Akar-akar persamaan kuadrat x2+ 6x +2 = 0 adalah x1 dan x2. Nilai x12 + x22 - 6x1x2 adalah...

Pertanyaan

Akar-akar persamaan kuadrat x²+ 6x +2 = 0 adalah x₁ dan x₂. Nilai x₁² + x₂² - 6x₁x₂ adalah...

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

$P e n j u m l a h a n space d a n space p e r k a l i a n space a k a r minus a k a r space p e r s a m a a n space k u a d r a t space a x squared plus b x plus c equals 0 space y a n g space m e m i l i k i space a k a r minus a k a r space x subscript 1 space d a n space x subscript 2 comma y a i t u colon x subscript 1 plus x subscript 2 equals negative b over a x subscript 1. x subscript 2 equals c over a D a n x subscript 1 squared plus x subscript 2 squared equals left parenthesis x subscript 1 plus x subscript 2 right parenthesis squared minus 2 x subscript 1. x subscript 2 D i k e t a h u i space p e r s a m a a n space k u a d r a t space x squared plus 6 x plus 2 equals 0 space m e m i l i k i space a k a r minus a k a r space x subscript 1 space d a n space x subscript 2 comma space m a k a x subscript 1 squared plus x subscript 2 squared minus 6 x subscript 1 x subscript 2 equals left parenthesis x subscript 1 plus x subscript 2 right parenthesis squared minus 8 x subscript 1 x subscript 2 equals left parenthesis negative 6 right parenthesis squared minus 8 left parenthesis 2 right parenthesis equals 20$

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