Giai pt nghiem nguyen to:
\(x^y+y^x+300=z\)
giai pt nghiem nguyen
X^3+Y^3=2016
GIAI HO TO VOI
giai pt nghiem nguyen x^4-x^2+2x+2-y^2=0
\(x^4-x^2+2x+2=y^2\)
Ta có:
\(\left(x^2-1\right)^2\le x^4-x^2+2x+2< \left(x^2+2\right)^2\)
\(\Rightarrow x^4-x^2+2x+2=\left(\left(x^2-1\right)^2;x^4;\left(x^2-1\right)^2\right)\)
Tới đây tự làm nốt nhé
giai pt nghiem nguyen:
(y+2)(x^2+1)=2x^3+3x+1
x2+(x+1)2=y4+(y+1)4
giai pt nghiem nguyen
x2 + ( x + 1 )2 = y4 + ( y + 1 )4
\(\Leftrightarrow\)2x2 + 2x + 1 = 2y4 + 4y3 + 6y2 + 4y + 1
\(\Leftrightarrow\)2x2 + 2x + 2 = 2y4 + 4y3 + 6y2 + 4y + 2
\(\Leftrightarrow\)2 . ( x2 + x + 1 ) = 2 ( y4 + 2y3 + 3y2 + 2y + 1 )
\(\Leftrightarrow\) x2 + x + 1 = ( y2 + y + 1 )2
\(\Leftrightarrow\)4 . ( x2 + x + 1 ) = 4 . ( y2 + y + 1 )2
\(\Leftrightarrow\) ( 2x + 1 )2 + 3 = [ 2 . ( y2 + y + 1 ) ]2
\(\Leftrightarrow\) [ 2 . ( y2 + y + 1 ) ]2 - ( 2x + 1 )2 = 3
\(\Leftrightarrow\)( 2y2 + 2y - 2x + 1 ) ( 2y2 + 2y + 2x + 3 ) = 3
sau đó lập bảng mà làm nhé
tim nghiem nguyen cua pt: x+y+2=3xy
ghi cach giai gium minh. minh tick cho
tim nghiem nguyen cua cac phuong trinh:
xyz=4(x+y+z) (x+y+z)
5(x+y+z+t)+7=xyzt
nho giai cho minh nhe
trinh bay ra nhe
minh tink cho bn bn tink vho minh voi nhe
Tim nghiem nguyen duong cua pt:\(\frac{xy}{z}+\frac{yz}{x}+\frac{zx}{y}=3\)
ap dung bdt co si ta co:\(\frac{xy}{z}+\frac{yz}{x}+\frac{zx}{y}>=3\sqrt[3]{xyz}\)
=>\(3>=3\sqrt[3]{xyz}\)
=>\(1>=\sqrt[3]{xyz}\)
=>\(1>=xyz\)
dau bang xay ra khi \(\frac{xy}{z}=\frac{yz}{x}=\frac{xz}{y}\)=>x=y=z=1
vay x=y=z=1
giai phuong trinh nghiem nguyen : x^2+x=y^4+y^3+y^2+y
tim nghiem nguyen cua pt x³-y³=3xy+1 va x+y=2xy