Các câu hỏi tương tự
tim nghiem tong quat cua moi phuong trinh sau:
2mx+3y=m-2
cho he phuong trinh 3x-y=2m+3 va x+2y=3m+1 tim m de he phuong trinh co 2 nghiem x y thoa man x^2+y^2=5
a) Cho phuong trinh x2 +mx+1=0. Tim dieu kien cua m de phuong trinh co nghiem kep. Tinh nghiem kep do
b) Khong giai phuong trinh, chung to phuong trinh 2x2 - 3x - 5 = 0co 2 nghiem phan biet x1 , x2. Tinh ( x1 - x2 )
số nghiem cua phuong trinh \(\frac{4x}{x^2-5x+6}+\frac{3x}{x^2-7x+6}=6\)
Tim nghiem nguyen cua phuong trinh
a) \(x^2+y^2-x-4y-2=0\)
b)\(x^2+y^2=x+y+8\)
tim nghiem nguyen cua phuong trinh: \(\left(x^2+1\right)\sqrt{1-x}-\left(2x+x^3\right)\sqrt{x+1}=3x^4\sqrt{2x}\)
tim cac so nguyen a;b;c sao cho: a^2+b^2+c^2+4hoac ab+3b+2c 2. giai phuong trinh: sqrt{2x+3}+sqrt{5-2x}3x^2-12x+14(neu cach giai) 3. tim gia tri nho nhat cua: frac{x+8}{sqrt{x}+1} 4. tim gia tri nho nhat cua: frac{4a}{b+c-a}+frac{9b}{a+c-b}+frac{16c}{a+b-c} 5. cho a;b;c la 3 canh cua tam giac thoa man a+b+c2 ; 0a;b;c1 c/m a^2+b^2+c^2+2abc2 6. giai he phuong trinh 6(x+y)5xy ; 12(y+z)7zy ; 4(...
Đọc tiếp
tim cac so nguyen a;b;c sao cho: a^2+b^2+c^2+4<hoac= ab+3b+2c
2. giai phuong trinh: \(\sqrt{2x+3}+\sqrt{5-2x}=3x^2-12x+14\)(neu cach giai)
3. tim gia tri nho nhat cua: \(\frac{x+8}{\sqrt{x}+1}\)
4. tim gia tri nho nhat cua: \(\frac{4a}{b+c-a}+\frac{9b}{a+c-b}+\frac{16c}{a+b-c}\)
5. cho a;b;c la 3 canh cua tam giac thoa man a+b+c=2 ; 0<a;b;c<1 c/m a^2+b^2+c^2+2abc<2
6. giai he phuong trinh 6(x+y)=5xy ; 12(y+z)=7zy ; 4(z+x)=3xz
7. cho a; b;c la 3 canh cua 1 tam giac c/m voi moi x,y,z \(\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}>\frac{2\left(x^2+y^2+z^2\right)}{a^2+b^2+c^2}\)
8. cho x;y;z>0 thoa man x+y+z=2008 c/m \(\frac{x^4+y^4}{x^3+y^3}+\frac{y^4+z^4}{y^3+z^3}+\frac{z^4+x^4}{z^3+x^3}>hoac=2008\)
Cho phuong trinh x^2 - bx + c=0 co hi nghiem thuc duong thoa man \(X_1+x_2\ge1\)
A) c/m \(B^2-2c\ge\frac{1}{2}\)
B) Tim GTLN cua bier thuc P = \(2bc-b^3-3b+1\)
giai he phuong trinh sau:\(\hept{\begin{cases}\frac{2x-3}{2y-5}=\frac{3x+1}{3y-4}\\2\left(x-3\right)-3\left(y+2\right)=-16\end{cases}}\)