求出下列方程的全部解：[tex=4.071x1.357]ypJ8Uq6TY51LViyTjpBhaBEF/FAacuWGG4/AUSsJdxc=[/tex].
因为[tex=5.143x2.429]mH/3UxD7XRqKCpvS19L6pH4soI9w8t8zdCCDLLXM/2F+Y7OehNGNLn16i4dVMk+TQHBnr40rEMCAPRUjA3O7xw==[/tex][tex=7.071x2.571]7a1n8pthm+xU3XHtofynq68bnaQn2JBhfsRXip2eKB+8o4KAqqGYXVxxHBsGxoap91cCjP3vmqjzBKMvdmUlyw==[/tex]，所以[tex=5.5x1.357]FFxUYTfb66uegJ8r7lBBYvuaLSFjP7gkHucnOTF6fMIkmuCdHN3H07idNZ+o0OzT[/tex][tex=7.357x1.571]vK2QmsxOGrwL9e7NEI2yR7OfGpGuCxtNPq0/Zw4lej/bV+qHoyqSGMHlJpGq07uJL4Nn9qAgLuKPdf8X+bkDeA==[/tex].两边平方，并设[tex=4.214x1.357]hpEIIECdu+cZJmhHP872wvs/rfHmi91tFI2c5SUxFns=[/tex]，有[tex=10.214x1.5]4WhWxWkHG6FnmT4P7XV9JgMTrmC1Vi1/CVrgGCi4qWkKCv0pNj3iYt6rv0SopFGi[/tex]或[tex=2.429x1.0]jLFeTkQ9+gF8zZ0Q+HAm6g==[/tex].由[tex=14.0x1.643]viMUuVLtuWnA8P/dJophd0mMtIC27d8f492eahzDtWAq8P8WF6eNi+ngBM7CLFbmMdAQwRFJDPjGqF8MYlC3LwHeAnW4eoAc++UEHEkUb26Iv/zFi/BNmizRGqpfmJH5ruNFtSmXchMF/qPu9/iEIQ==[/tex]，所以[tex=10.714x1.357]4JddLgBNCOoEPYxvrIJxk1Pu+JjdNanOljOXip/rXaf0zILaOAhLx2/fDgCC6hdNrmti50yk15l9TCFtGSv9Hw==[/tex][tex=8.0x2.429]bMRrINhuwlMbjrHDeWypolAqeZBd6een56E3f6hqkEm/Ol9+pdsEOEOnqyZTFwIQqIn7/LNoA7H5Ndpa4s48Xug2rRfRkT2TjIFPkMXAovw=[/tex]，[tex=5.357x1.214]wVYJsdMIiAZJNHA/IZmL//BSQRb7OmFofc0YJ9Dilzg=[/tex].故方程[tex=3.643x1.357]FFxUYTfb66uegJ8r7lBBYtz/QZYeq+DVVAA5hXJBzR0=[/tex]的解为[tex=15.143x2.786]yw3Hw25Rh1xlJNsyzYg/F3BaTdvobIfupbWgyX0+KU+4V7ic/xbJuJ3MeJlONVY7SpeEVPZXQCTLonqs/QDaBHszwwRpFMDUH1cmXw5+auhesf/RcALTKc1XdAmXt4yg[/tex]实部任意[tex=0.5x0.786]gdMkE6SnyZedYLxpUxdkaQ==[/tex]（[tex=12.714x2.429]6J8eNF90VxvUfVhXlK8LcpqlGZqPezbe4pBGnA4yH560oFUoykWFWMyhVABRr7RtXeNYYiEZ6gjG+Bieao1OSOjtZfog2kUeAjAfdvfBysU=[/tex]实部任意）.
举一反三
- 求出下列方程的全部解：[tex=3.143x1.0]UrcmC39fqU5iNs2pvUsPvQ==[/tex].
- 求出方程 [tex=3.429x1.143]24hDbSa2AVNp/+ik4tQMzQ==[/tex] 的全部解.
- 验证下列方程是恰当方程， 并求出方程的解。[tex=11.143x1.571]EF5fE4DmSgRWZc25kwUiJTXNjN4F1Bk3JPStQjkzhXcvEcDcTKwEhHXEFHEEWDha[/tex]
- 验证下列方程是恰当方程, 并求出方程的解:[tex=19.143x1.571]yCLc1kUCYZ2fhWptLzu1sQY6+YApLPq0hwTx+IrIhiVbE4e/zv8BRkqIlafD+sEiXyfi7PVxqFIUUknw33zUAUAXewyB3/Cuz+S0ONJbE3GZCrY+SnhEjhqVCs3tdTtE[/tex]
- 验证下列方程是恰当方程， 并求出方程的解。[tex=12.071x1.571]9XNGkbp+nLD+z1kvcGtX6Y09rN/oT32q9bkZbGDh5x1/jHI6mloO+w+p2R5X98YZ[/tex]
内容
- 0
验证方程 [tex=15.643x1.571]5xumCfDufJ+G9hZSQSyHFBm8g2nwP5uhlRQAygiRgIQSU0LiACKBGSswOJOlliU93T7ph+AKxfzE4R02YIbLMw73aSX8C+DF2t81bsRteVjPG67SMFv7UXeTABXXpbln[/tex] 是恰当微分方程, 并求出方程的解
- 1
解下列矩阵方程，求出未知矩阵[tex=1.143x1.0]AVsxmGLKG/DKYxafM8rZUA==[/tex][tex=11.714x2.786]jcCMHflCR8OS9TosV6N5vJytC/ABE6vCy52RUkDTas8G/x3jHOvRFD+Crzr6WbXfd2jD7HukVp7+i/+oO5gAjaUKFP0Z79nJJGOdL0mou6cPXiW85PpxksUEsyV17ZDsfKv7dxsNBGl0POZ7/4gWQnDx8In26s3ljJpfJiDBEGc=[/tex]
- 2
下列方程是否有整数解?若有整数解,试求出所有的整数解.[br][/br][tex=4.929x1.357]po7tOxlBdA+ypwTgBcT2BQ==[/tex]
- 3
下列方程是否有整数解?若有整数解,试求出所有的整数解.[br][/br][tex=6.857x1.357]qH4osjkmfM3K7nyyCME0i0bVzD3qtCdB167X0vc1oQI=[/tex]
- 4
下列方程是否有整数解?若有整数解,试求出所有的整数解.[br][/br][tex=9.857x1.357]wCxpk6AFdnKKD3w+GxGJp2+s7KXECClSdLOw+V34wKo=[/tex]