x10+x8+1
= x10+x9+x8-x9-x8-x7+x8+x7+x6-x6-x5-x4+x5+x4+x3-x3-x2-x+x2+x+1
= x8(x2+x+1)-x7(x2+x+1)+x6(x2+x+1)-x4(x2+x+1)+x3(x2+x+1)-x(x2+x+1)+(x2+x+1)
= (x2+x+1)(x8-x7+x6-x4+x3-x+1)
= (x2+x+1)(x8-x7+x6-x4+x3-x2+x2-x+1)
= (x2+x+1)[x6(x2-x+1)-x2(x2-x+1)+(x2-x+1)]
= (x2+x+1)(x2-x+1)(x6-x2+1)
\(\dfrac{x^{10}-x^8+x^6-x^4+x^2-1}{x^4-1}\)
Giải phương trình sau:
1, |x+8|=4x-10
2, |x-9|=2x+13
3, |x-1|-2|x|=-2
4, |2x-5|=|x+3|
5, |x-1|=|3x+10|
1. Tìm x
a. (5x-7)(x-9)-(-x+3)(-5x+2)= 2x(x-4)-(x-1)(2x+3)
b. (x-3)(-x+10)+(x-8)(x+3)= (5x^2-1)(x+3)-5x^3-15x^2
giải pt
\(\frac{8}{x-8}+\frac{11}{x-11}=\frac{9}{x-9}+\frac{10}{x-10}\)
Giải các phương trình sau:
a) \(\dfrac{x+1}{35}+\dfrac{x+3}{33}=\dfrac{x+5}{31}+\dfrac{x+7}{29}\)
b) \(\dfrac{x-10}{1994}+\dfrac{x-8}{1996}+\dfrac{x-6}{1998}+\dfrac{x-4}{2000}+\dfrac{x-2}{2002}=\dfrac{x-2002}{2}+\dfrac{x-2000}{4}+\dfrac{x-1998}{6}+\dfrac{x-1996}{8}+\dfrac{x-1994}{10}\)
Bài 8: Tìm giá trị nhỏ nhất của A(x)=(x-1)(x-3)(x-4)(x-6)+10
Tìm x biết:
1. (x-2)^2-(x-3)(x+3)=6
2. 4(x-3)^2-(2x-1)(2x+1)=10
3. (x-4)^2-(x-2)(x+2)=6
4.9(x+1)^2-(3x-2)(3x+2)=10
5. 3x +2(5-x)=0
6.x(2x-1)(x+5)-(2x^2+1)(x+4,5)=3,5
7, 3x^2-3x(x-2)=36
8. (3x^2-x+1)(x-1) +x^2(4-3x)=5/2
Giải phương trình :
\(\dfrac{x}{10}+\dfrac{x-1}{9}+\dfrac{x-2}{8}+\dfrac{x-3}{7}+\dfrac{x-4}{6}+\dfrac{x-5}{5}\)= 6
giải phương trình
1) \(\dfrac{5x-1}{10}-\dfrac{2x+3}{6}=\dfrac{x-8}{15}-\dfrac{x}{30}\)
