Tính kết quả : A=1+1/2×(1+2)+1/3×(1+2+3)+1/4×(1+2+3+4)+...+1/50×(1+2+3+...+50)
Tính giúp mình nha💕💕💕
1) \(\sqrt{2-x^2}+\sqrt{2-\dfrac{1}{x^2}}=4-\left(x+\dfrac{1}{x}\right)\)
2) \(x\sqrt{x}+\sqrt{12-x}=2\sqrt{3\left(x^2+1\right)}\)
3) \(\left(x+8\sqrt{x}+4\right)\left(x-\sqrt{x}+4\right)=36x\)
giai cac phuong trinh
a)\(2x^4+5x^3+x^2+5x+2=0\)
b)\(\sqrt{x-1}-\sqrt[3]{2-x}=1\)
c)\(x-\sqrt{x}+1=\sqrt{2x^2-30x+2}\)
d)\(2x^2+3x+7=\left(x-5\right)\sqrt{2x^2+1}\)
e)\(\sqrt{x-2}+\sqrt{4-x}=2x^2-5x-1\)
a, giải pt 1, \(\sqrt{x+4}+\sqrt{x-4}=2x-12+2\sqrt{x^2-16}\)
2, \(\sqrt{2x+1}+3\sqrt{4x^2-2x+1}=3+\sqrt{8x^3+1}\)
b, giải hpt 1, \(\left\{{}\begin{matrix}x^2+4y^2-5=0\\4x^2y+8xy^2+5x+10y-1=0\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^2-2x+2y-3=0\\16x^2-8xy^2+y^4-2y+4=0\end{matrix}\right.\)
1. giải các phương trình :
a/\(\sqrt{6x^2-12x+7}=x^2-2x\)
\(\frac{2}{\sqrt{3+x}}=\frac{\sqrt{3+x}}{x-1}\)
c/\(x^2+\sqrt{-x-1}=4+\sqrt{-x-1}\)
d/\(\frac{3x^2+1}{\sqrt{x-1}}=\frac{4}{\sqrt{x-1}}\)
e/\(\sqrt{-x^2+3x+4}=2x^2-6x+2\)
f/\(\frac{\sqrt{4x^2+7x-2}}{x+2}=\sqrt{2}\)
Giải phương trình :
a. \(\dfrac{3x+4}{x-2}-\dfrac{1}{x+2}=\dfrac{4}{x^2-4}+3\)
b. \(\dfrac{3x^2-2x+3}{2x-1}=\dfrac{3x-5}{2}\)
c. \(\sqrt{x^2-4}=x-1\)
Giải các phương trình sau :
a)\(\left|\dfrac{x+5}{-x^2+9}\right|=2\)
b)\(\dfrac{4}{\sqrt{2-x}}-\sqrt{2-x}=2\)
c)\(^{x^2-6x+9=4\sqrt{x^2-6x+6}}\)
d)\(\sqrt{x-3}=\dfrac{2}{\sqrt{x}-2}\)
e)\(\sqrt{x+1}=8-\sqrt{3x+1}\)
f')(x-2)\(\sqrt{2x+7}=x^2-4\)
g)\(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=x-1\)
h)\(\sqrt{x+4}-\sqrt{1-x}=\sqrt{1-2x}\)
i) \(\sqrt{x+4}-\sqrt{3x+1}+2\sqrt{3x^2+13x+4}=51-4x\)
k)\(\dfrac{x-2}{1-x}+\dfrac{x-3}{x+1}=\dfrac{x^2+4x+15}{x^2-1}\)
1. 2x² - 4 =0
2. x² + 1 = 0
3. ( x - 1 )² + 2 = 0
4. |x-1| = |1-x|
5.√x + 1 = 2√-x
6. |X-1| + 1 = 0
a. (3x-1)x(-1/2x+5)=0
b. 2/3x+1/2x=5/2:15/4
c. (x.44/7+3/7).11/5-3/7=-2
d. 1/3x+2/5(x-1)=0