Violympic toán 9
Các câu hỏi tương tự
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 \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
1) giai phuong trinh:
a) \(x+\sqrt{2x+3}=2x\left(x-2\right)\)
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 phuong trinh:
\(\sqrt{x^2+2x-2}+2\sqrt{x^2+2x-2}=x+2\)
giai phuong trinh :
\(\dfrac{\sqrt{x+3}+\sqrt{x-1}}{\sqrt{x+3}-\sqrt{x-1}}=\dfrac{13-x^2}{4}\)
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 \(\left|x_2-x_1\right|\le2\)
giai phuong trinh \(\sqrt{x\left(x-3\right)}-\sqrt{7x-3}=2\sqrt{x^2}\)
Giai phuong trinh :
\(\sqrt{x^2+8}+\sqrt{2-x^2}=4\)