1.x^3+4x^2+x-6=0
2.x^3-6x^2+11x-6=0
3.x^3-4x^2+x+6=0
4.x^3-3x^2+4=0
5.x-ab/a+b + x-bc/b+c + x-ca/c+a=a+b+c(voi a,b,c,>0)
6.x^2+2x+1/x^2+2x+2 + x^2+2x+2/x^2+2x+3=7/6
Tính:
a) \(\dfrac{x+1}{2x-6}+\dfrac{2x+3}{x^2+3x}\)
b) \(\dfrac{3}{2x+6}-\dfrac{x-6}{3x^2+6}\)
c) \(\dfrac{2x+6}{3x^2-x}:\dfrac{x^2+3x}{1-3x}\)
A,x^2-3 + 2x + 3/3x+6 + 2x + 3/3x + 6. (Phần là / nhé)
B, Y - 12/6(y-6) + 6/y(y-6)
C,6/x(x+4) + 3/2(x+4)
T=\(\frac{6}{\left(3-2\right)\left(3^2-2^2\right)}\)+ \(\frac{6}{\left(3^2-2^2\right)\left(3^3-2^3\right)}\)+...+\(\frac{6^{99}}{\left(3^{99}-2^{99}\right)\left(3^{100}-2^{100}\right)}\)
Rút gọn :\(A=\frac{\sqrt{6+2.\left(\sqrt{6}+\sqrt{3}+\sqrt{2}\right)}-\sqrt{6-2.\left(\sqrt{6}-\sqrt{3}-\sqrt{2}\right)}}{\sqrt{2}}\)
phân tích
1,(x-2)^4+(x-3)^4-1
2,(x-1)^4+(x+3)^4-512
3,(x-2)^6+(x-4)^6-64
4,x^4-3x^3+6x^2+3x+1
5,3x^4-2x^3-15x^2-2x+3
6,x^6-2x^5-4x^4+6x^3+4x^2-2x-1
chứng minh cho biểu thức
\(\frac{\left(1^6-29^3\right)\left(2^6-28^3\right)\left(3^6-27^3\right).....\left(10^6-20^3\right)}{\left(1^6+29^3\right)\left(2^6+28^3\right)\left(3^6+27^3\right).....\left(10^6+20^3\right)}=0\)\(0\)
Bài 1: Tính nhanh
a) -5/7-(-5/67) + 13/30 + 1/2 + (-11/6) + 17/14 - (-2/5) b) 3/5 : (-1/15 - 1-6) +3/5 : (1/3 + 16/15 c) (3 - 1/4 + 2/3)-(5 - 1/3 - 6/5) - (6 - 7/4 + 3/2) d) 1/3 + 1/3^2 + 1/3^3 +......+ 1/3^2004 + 1/3^2005 Mọi người giúp em với em cảm ơn ạ =))))))))
Giải Phương trình: 13 - x / x+3 - 6x^2 + 6 / x^4 - 8x^2 - 9 - 3x + 6 / x^2 + 5x + 6 - 2 / x -3 =0