tìm x,y thuộc N biết
65x^6-2x^3y+y^2-64=0
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x(y+2)+3y =6
=>x(y+3)+3y+9=15
=>x(y+3)+3(y+3)=15
=>(x+3)(y+3)=15
mả .....=......=>ta co bang sau
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a ) Vì ( 2x + 1 ) . ( y - 3 ) = 10
=> 2x + 1 và y - 3 thuộc Ư ( 10 ) = { 1 ; 2 ; 5 ; 10 }
Mà 2x là số chẵn => 2x + 1 là số lẻ => 2x + 1 thuộc { 1 ; 5 }
Lập bảng giá trị tương ứng x , y :
2x + 1 | 1 | 5 |
x | 0 | 2 |
y - 3 | 10 | 2 |
y | 13 | 5 |
Vậy ( x , y ) = ( 0 ; 13 ) ; ( 2 ; 5 )