Hãy thử lại và cho viết các khẳng định sau đây có đúng không ?
a) \(x^3+3x=2x^2-3x+1\Leftrightarrow x=-1\)
b) \(\left(z-2\right)\left(z^2+1\right)=2z+5\Leftrightarrow z=3\)
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,\(\left(x-4\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)
a) 5(k+3x)(x+1)-4(1+2x)=80 x\(_0\)=2Tìm gt của kb) x+1=xc) x+2=0d) x+5=0e) (x+1)(2x-3)-3(x-2)=2(x-1)\(^2\)f) (x+1)(x\(^2\)-x+1)-2x=x(x-1)(x+1)g)\(\dfrac{x}{3}\)-\(\dfrac{5x}{6}\)-\(\dfrac{15x}{12}\)=\(\dfrac{x}{4}\)-5h) \(\dfrac{x-1}{2}\)-\(\dfrac{x+1}{15}\)-\(\dfrac{2x-13}{6}\)=0i) \(\dfrac{3\left(5x-2\right)}{4}\)-2=\(\dfrac{7x}{3}\)-5(x-7)
j) \(\dfrac{x-3}{11}\)+\(\dfrac{x+1}{3}\)=\(\dfrac{x+7}{9}\)-1k)\(\dfrac{3x-0,4}{2}\)+\(\dfrac{1,5-2x}{3}\)=\(\dfrac{x+0,5}{5}\)l) \(\dfrac{x-4}{5}\)+\(\dfrac{3x-2}{10}\)-x=\(\dfrac{2x-5}{3}\)-\(\dfrac{7x+2}{6}\)m) \(\dfrac{\left(2x-3\right)\left(2x+3\right)}{8}\)=\(\dfrac{\left(x-4\right)^{^2}}{6}\)+\(\dfrac{\left(x-2^{ }\right)^2}{3}\)n) \(\dfrac{7x^2-14x-5}{15}\)=\(\dfrac{\left(2x+1\right)^2}{5}\)-\(\dfrac{\left(x-1\right)^2}{3}\)o) \(\dfrac{\left(7x+1\right)\left(x-2\right)}{10}\)+\(\dfrac{2}{5}\)=\(\dfrac{\left(x-2^{ }\right)^2}{5}\)+\(\dfrac{\left(x-1\right)\left(x-2\right)}{10}\)
1.Giải phương trình nghiệm nghuyên
a)\(x^2-25=\) \(y\left(y+6\right)\)
b)\(x^2+x+6=y^2\)
c)\(x^2-4x=169-5y^2\)
d)\(x^2+13y=100+6xy\)
e)\(x^2-x=6-y^2\)
2.Tìm \(x,y,z,t\)\(\in N\)*
a)\(x+y+z=x.y.z\)
b)\(\dfrac{1}{x^2}+\dfrac{1}{y^2}+\dfrac{1}{z^2}+\dfrac{1}{t^2}=1\)
c)\(\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=2\)
d)\(5\left(xy+yz+zx\right)=4xyz\)
3.Tìm \(x,y\in Z\)
a)\(y^3-x^3=3x\)
b)\(y^3=x^3+x^2+x+1\)
c)\(x^4+y^2+1=y^2\)
a) ( x+3 ) * ( x^2 - 3x +9 ) - ( 54+ x^3 )
b) ( 2x + y ) * ( 4x^2 - 2xy + y^2 ) - ( 2x - y ) * ( 4x^2 + 2xy + y^2 )
c) ( a+b ) ^3 - ( a-b ) ^3 - 2b^3
d) ( x+y+z ) ^ 2 - 2 * ( x+y+z ) * ( x+y ) + y^2 + ( x + y ) ^ 2
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, \(\dfrac{x+2}{13}+\dfrac{2x+45}{15}=\dfrac{3x+8}{37}+\dfrac{4x+69}{9}\)
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) \(\dfrac{5x+6}{7}\)-\(\dfrac{3x+1}{4}\)=\(\dfrac{x+16}{5}\)
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) \(1- \dfrac{2x-1}{9}=\dfrac{x}{2}-\dfrac{13x-10}{6}\)
a) x\(^2\)-3x+7=1+2x
b) x\(^2\)-3x-10=0
c) x\(^2\)-3x+4=2(x-1)
d) (x+1)(x-2)(x-5)=0
e) 2x\(^2\)+3x+1=0
f) 4x\(^2\)-3x=2x-1