Giải các phương trình sau :
a, \(6x^2-5x+3=2x-3x\left(3-2x\right)\)
b,\(\dfrac{2\left(x-4\right)}{4}-\dfrac{3+2x}{10}=x+\dfrac{1-x}{5}\)
c,\(\dfrac{2x}{3}+\dfrac{3x-5}{4}=\dfrac{3\left(2x-1\right)}{2}-\dfrac{7}{6}\)
d,\(\dfrac{6x+5}{2}-\dfrac{10x+3}{4}=2x+\dfrac{2x+1}{2}\)
e,\(\left(x-4\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)
Giải các phương trình sau
a) \(\dfrac{5x+6}{7}\)-\(\dfrac{3x+1}{4}\)=\(\dfrac{x+16}{5}\)
b) \(\dfrac{x+5}{4}-\dfrac{2x-5}{3}=\dfrac{6x-1}{3}+\dfrac{2x-3}{12}\)
c)\(\dfrac{x-3}{4}-\dfrac{2x+5}{7}-\dfrac{x-1}{2}=1 \)
d) \(1- \dfrac{2x-1}{9}=\dfrac{x}{2}-\dfrac{13x-10}{6}\)
Giải phương trình :
a,\(\dfrac{6x+5}{2}-\dfrac{10x+3}{4}=2x+\dfrac{2x+1}{2}\)
b,\(\left(x+1\right)^3-\left(x-1\right)^3=6\left(x^2+x+1\right)\)
c, \(\dfrac{x+2}{13}+\dfrac{2x+45}{15}=\dfrac{3x+8}{37}+\dfrac{4x+69}{9}\)
Cho a+b+c khác 0;a,b,c khác 0 và \(\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=\dfrac{1}{a+b+c}\)
a Chứng minh \(\dfrac{1}{a^{2017}}+\dfrac{1}{b^{2017}}+\dfrac{1}{c^{2017}}=\dfrac{1}{a^{2107}+b^{2017}+c^{2017}}\)
b Tổng quát bài toán trên
cho abc=36,1/a+1/b+1/c=o.
Tính Q=a^2(b^2+c^2)-b^2c^2/a^2b^2c^2*b^2(c^2+a^2)-c^2a^2/a^2b^2c^2*c^2(a^2+b^2)-a^2b^2/a^2b^2c^2
giả phương trình
\(\dfrac{x+1}{2}+\dfrac{3x-2}{3}=\dfrac{x-7}{12}\)
b) \(\dfrac{2x}{x-3}-\dfrac{5}{x+3}=\dfrac{x^2+21}{x^2-9}\)
c) x3+2x = 0
d) ( x-4) (7x-3) -x2+16=0
e) 2x-4=2
g) (x+2)(x-3) = 0
h) \(\dfrac{2}{x+1}-\dfrac{1}{x-2}=\dfrac{3x-11}{\left(x+1\right).\left(x-2\right)}
\dfrac{ }{ }\)
i) \(\dfrac{1}{x+2}+\dfrac{5}{x-2}=\dfrac{2x-12}{x^2-4}\)
Giải các phương trình sau
a) \(\dfrac{2-x}{2001}-1=\dfrac{1-x}{2002}-\dfrac{x}{2003}\)
b) \(\dfrac{2x-3}{97}-\dfrac{2x-4}{96}+\dfrac{2x-5}{95}=\dfrac{2x-6}{94}\)
Bài 2:
a) (x+1)(2x-3)-3(x-2)
=2(x-1)\(^2\)
b) (x+1)(x\(^2\)-x+1)-2x
=x(x-1)(x+1)
c) \(\dfrac{x}{3}\)-\(\dfrac{5x}{6}\)-\(\dfrac{15x}{12}\)=\(\dfrac{x}{4}\)-5
d) \(\dfrac{x-1}{2}\)-\(\dfrac{x+1}{15}\)-
\(\dfrac{2x-13}{6}\)=0
e) \(\dfrac{3\left(5x-2\right)}{4}\)-2
=\(\dfrac{7x}{3}\)-5(x-7)
g) \(\dfrac{x-3}{11}\)+\(\dfrac{x+1}{3}\)
=\(\dfrac{x+7}{9}\)-1
h) \(\dfrac{3x-0,4}{2}\)+\(\dfrac{1,5-2x}{3}\)
=\(\dfrac{x+0,5}{5}\)
Trong các số \(-2;-1,5;-1;0,5;\dfrac{2}{3};2;3\) số nào là nghiệm của mỗi phương trình sau :
a) \(y^2-3-2y\)
b) \(t+3=2-t\)
c) \(\dfrac{3x-4}{2}+1=0\)
