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:
\(\sqrt{x^2+2x-2}+2\sqrt{x^2+2x-2}=x+2\)
1) giai phuong trinh:
a) \(x+\sqrt{2x+3}=2x\left(x-2\right)\)
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+2right)left(x+3right)-sqrt{x^2+5x+1}9
6/ left(x+4right)left(x+1right)-3sqrt{x^2+5x+2}6
7/ sqrt{2x^2+3x+5}+sqrt{2x^2-3x+5}3sqrt{x}
Đọc tiếp
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/ \(\sqrt{2x^2+3x+5}+\sqrt{2x^2-3x+5}=3\sqrt{x}\)
Giai phuong trinh
1/ \(\sqrt{x-3}+\sqrt{2-x}=5\)
2/ \(2x+7\sqrt{x}+\dfrac{7}{\sqrt{x}}+\dfrac{2}{x}+9=0\)
3/ \(x+\dfrac{1}{x}-4\sqrt{x}-\dfrac{4}{\sqrt{x}}+6=0\)
4/ \(\sqrt{x+9}=5-\sqrt{x-2}\)
giai phuong trinh : 2x-1=x\(\sqrt{x}\)
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 \(\left|x_2-x_1\right|\le2\)
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
a/ \(\sqrt{4x^2+4x+1}\) - \(\sqrt{25x^2+10x+1}\) = 0
b/ \(\sqrt{x^4-16x^2+64}=\sqrt{25x^2+10x+1}\)
c/ \(\sqrt{x^2-25}-\sqrt{x-5}=0\)
d/ \(\sqrt{4x^2-9}-2\sqrt{2x+3}=0\)
e/ \(\sqrt{x-2}-3\sqrt{x^2-4}=0\)