giai phuong trinh: \(\sqrt{2x^2-1}+\sqrt{x^2-3x-2}=\sqrt{2x^2+2x+3}+\sqrt{x^2-x-1}\)
Giai phuong trinh
1/ \(\sqrt{x^2+4x+5}+\sqrt{x^2-6x+13}=3\)
2/ \(\sqrt{3x^2-18x+28}+\sqrt{4x^2-24x+45}=6x-x^2-5\)
3/ \(\sqrt{2x^2-4x+27}+\sqrt{3x^2-6x+12}=4x^2+8x+4\)
4/ \(\sqrt{x^2+x+7}+\sqrt{x^2+x+2}=\sqrt{3x^2+3x+19}\)
5/ \(\left(x+2\right)\left(x+3\right)-\sqrt{x^2+5x+1}=9\)
6/ \(\left(x+4\right)\left(x+1\right)-3\sqrt{x^2+5x+2}=6\)
7/ \(\sqrt{2x^2+3x+5}+\sqrt{2x^2-3x+5}=3\sqrt{x}\)
Cho phuong trinh : x+m=\(\sqrt{x+1}\) (1)
1/giai phuong trinh (1) khi m=1
2/giai va bien luan phuong trinh (1)theo m
Giai he phuong trinh:
\(\left\{{}\begin{matrix}3x-y-5z-2yz=0\\x-5y-z-2z^2=0\\x+9y-3x+2xz=0\end{matrix}\right.\)
Giai pt :
\(\sqrt{3x^2-3x+1}+1=\sqrt[3]{6x^3+2}\)
cho phuong trinh \(x^2-2x+m^2-2m+1=0\left(1\right)\) voi m la tham so
a/ Giai phuong trinh (1) khi m=\(\sqrt{2}\)
b/Chung minh rang neu phuong trinh (1) co 2 nghiem \(x_1,x_2\) thi \(\left|x_2-x_1\right|\le2\)
1) Goi x1,x2 la nghiem cua phuong trinh \(x^2-3x+2=0\)
a) Tinh tong S=x1+x2 va tich P= x1.x2
Giai phuong trinh
|2x+1| = |5x+1|
giai phuong trinh sau:
\(x+\sqrt{x+\frac{1}{2}+\sqrt{x+\frac{1}{4}}+\frac{1}{4}}=2\)
m.m giup minh cau nay aj. thank m.n
