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Giải bài 9 trang 12 Chuyên đề học tập Toán 10 – Cánh diều

Sử dụng máy tính cầm tay để tìm nghiệm của các hệ phương trình:

🃏Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Cánh diều

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...
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Đề bài

Sử dụng máy tính cầm tay để tìm nghiệm của các hệ phương trình: a) \(\left\{ \begin{array}{l} - x + 2y - 3z = 2\\2x + y + 2z =  - 3\\ - 2x - 3y + z = 5\end{array} \right.\) b) \(\left\{ \begin{array}{l}x - 3y + z = 1\\5y - 4z = 0\\x + 2y - 3z =  - 1\end{array} \right.\) c) \(\left\{ \begin{array}{l}x + y - 3z =  - 1\\3x - 5y - z =  - 3\\ - x + 4y - 2z = 1\end{array} \right.\)

Phương pháp giải - Xem chi tiết

Dùng máy tính cầm tay để tìm nghiệm của hệ \(\left\{ \begin{array}{l}ax + by + cz = d\\a'x + b'y + c'z = d'\\a''x + b''y + c''z = d''\end{array} \right.\) +) Mở máy, ấn liên tiếp các phím: MODE 5 2 a = b = c = d = a’ = b’ = c’ = d’ = a’’ = b’’ = c’’ = d’’= +) Màn hình hiển thị: X = >> Ấn tiếp phím = để lấy gía trị của Y và Z. >> Kết luận nghiệm. No-Solution >> KL: hệ vô nghiệm Infinite Sol >> KL: hệ có vô số nghiệm

Lời giải chi tiết

a) \(\left\{ \begin{array}{l} - x + 2y - 3z = 2\\2x + y + 2z =  - 3\\ - 2x - 3y + z = 5\end{array} \right.\)Hệ phương trình có nghiệm duy nhất \(\left( { - 4;\frac{{11}}{7};\frac{{12}}{7}} \right)\)b) \(\left\{ \begin{array}{l}x - 3y + z = 1\\5y - 4z = 0\\x + 2y - 3z =  - 1\end{array} \right.\)Hệ phương trình vô nghiệm.c) \(\left\{ \begin{array}{l}x + y - 3z =  - 1\\3x - 5y - z =  - 3\\ - x + 4y - 2z = 1\end{array} \right.\)Hệ phương trình có vô số nghiệm.

 

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