Cho phuong trinh bac hai 4x^2-2(√10)+1=0 co hai nghiem x1,x2.Khong giai phuong trinh, hay tinh gia tri bieu thuc(√x14+8x22)+(√x24+8x12).
cho tam thuc bac hai f(x) =ax2+1998x+c moi a,c thuoc Z ; IaI<2000 va f(x) co 2 nghiem phan biet x1,x2, CMR Ix1-x2I >=1/998
P(x)=2x^4+(m+n).x^3-(2m-3n-2)x^2+2x+1 Tim cac gia tri cua m,n sao cho P(x) chia het cho (2x+1) va chia(x-1) du 12
cho x,ythoa man 0<x<1 ,0<y<1 va \(\frac{x}{1-x}+\frac{y}{1-y}=1\)
tinh gia tri cua bieu thuc P=\(x+y+\sqrt{x^2-xy+y^2}\)
cho cac so thuc x va y thoa man
\(\left(x^2+\sqrt{1+x^2}\right)\left(y^2+\sqrt{1+y^2}\right)=1\)1
chung minh x+y=0
phan tich da thuc thanh phan tu
a,32x^4+1
b,x^8+x+1
c,x^7+x^2+1
Chung minh pt x2-2( m+1)x+m-4 luon co hai n0 phan biet x1; x2 va bieu thuc M=x1 (1-x2) +x2 (1-x1) khong phu thuoc vao m
Dạng : Phan tich da thuc thanh nhan tu
1) -x4+7x3-5x2-31x+30
2) x3-x2-x-2
3) -x4+2x2+3x+2
Dạng : Phan tich da thuc thanh nhan tu
1) -x4+7x3-5x2-31x+30
2) x3-x2-x-2
3) -x4+2x2+3x+2