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Diketahui x1 dan x2 akar-akar persamaan x2−7x+10=0. Nilai dari x12​+x22​− x1​x2​= ...

Pertanyaan

Diketahui x1 dan x2 akar-akar persamaan x squared minus 7 x plus 10 equals 0. Nilai dari x subscript 1 squared plus x subscript 2 squared minus space x subscript 1 x subscript 2= ...

  1. -23

  2. -3

  3. 10

  4. 19

  5. 23

A. Acfreelance

Master Teacher

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 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 space left parenthesis space 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 minus 7 x plus 10 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 d a n space x subscript 2 comma m a k a 〖  x subscript 1 squared plus x subscript 2 squared minus x subscript 1 x subscript 2 equals left parenthesis x subscript 1 plus x subscript 2 right parenthesis squared minus 3 x subscript 1 x subscript 2 equals left parenthesis 7 right parenthesis squared minus 3 left parenthesis 10 right parenthesis equals 19

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