\(\Leftrightarrow\left(x-1\right)\left(2x^2-3x+2013\right)=0\Leftrightarrow\left(x-1\right)\left(2\left(x^2-2\cdot x\cdot\frac{3}{4}+\frac{9}{16}\right)+2013-\frac{9}{8}\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(2\left(x-\frac{3}{4}\right)^2+2011\frac{7}{8}\right)=0\)(1)
Do \(\left(2\left(x-\frac{3}{4}\right)^2+2011\frac{7}{8}\right)>0\forall x\)nên
(1) <=> x - 1 = 0 <=> x = 1.
\(\text{Tìm x: }2x^2\left(x-1\right)-3x\left(x-1\right)+2016\left(x-1\right)=0\)
BÀI 6 tìm x
1,\(2x\left(x-5\right)-\left(3x+2x^2\right)=0\) 2,\(x\left(5-2x\right)+2x\left(x-1\right)=13\)
3,\(2x^3\left(2x-3\right)-x^2\left(4x^2-6x+2\right)=0\) 4,\(5x\left(x-1\right)-\left(x+2\right)\left(5x-7\right)=6\)
5,\(6x^2-\left(2x-3\right)\left(3x+2\right)=1\) 6,\(2x\left(1-x\right)+5=9-2x^2\)
Tìm \(x\):
\(8\)) \(1-\left(x-6\right)=4\left(2-2x\right)\)
\(9\))\(\left(3x-2\right)\left(x+5\right)=0\)
\(10\))\(\left(x+3\right)\left(x^2+2\right)=0\)
\(11\))\(\left(5x-1\right)\left(x^2-9\right)=0\)
\(12\))\(x\left(x-3\right)+3\left(x-3\right)=0\)
\(13\))\(x\left(x-5\right)-4x+20=0\)
\(14\))\(x^2+4x-5=0\)
A)\(\left(2x-7\right)^2-6\left(2x-7\right)\left(x-3\right)=0\)
B) \(x^3+1+\left(x^2-x+1\right)=0\)
C) \(\left(3x+1\right)^2-x^2+8x-16=0\)
D)\(\left(x+1\right)\left(x-1\right)^2\left(x+1\right)\left(x-2\right)^2=0\)
E) \(\left(3x+1\right)\left(x-3\right)^2=\left(3x+1\right)\left(2x-5\right)^2\)
F) \(\left(x+5\right)\left(3x+2\right)^2=x^2\left(x+5\right)\)
Tìm x
a, \(9x^2-49=0\) b, \(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x-1\right)-27=0\)
c, (x-1)(x+2)-x-2=0 d, \(x\left(3x+2\right)+\left(x+1\right)^2-\left(2x-5\right)\left(2x+5\right)=0\)
e, (4x+1)(x-2)-(2x-3)(2x+1)=7
1\()\)\((\)x-1\()\)\(\left(5x+3\right)\)\(=\)\(\left(3x-8\right)\)\(\left(x-1\right)\)
2/\(\left(2x-1\right)^2\)\(+\)\(\left(2-x\right)\)\(\left(2x-1\right)\)\(=\)0
Tìm x:
a)\(\text{(x-5)(x+5)-(x+3)^2+3(x-2)^2=(x+1)^2-(x+4)(x-4)+3x^2}\)
\(\text{b)(2x+3)^2}+\left(x-1\right)\left(x+1\right)=5\left(x+2\right)^2-\left(x-5\right)\left(x+1\right)+\left(x+4\right)^2\)
\(\left(3x-5\right).\left(-2x-7\right)=0\)
\(9x^2-1=\left(1+3x\right)\left(2x-3\right)\)
\(x^2-9=\left(1-4x\right)\left(x+3\right)\)
\(x^3-2x=-x^2+2\)
\(9x^2-16-x\left(3x+16\right)=0\)
\(\frac{2+4+...+2016+2018}{1019090}=-3x^2-4x\)
mình cần gấp mong các bạn giúp đỡ
Tìm x, biết :
a/ \(\dfrac{1}{3}x\left(x^2-4\right)=0\)
b/ \(x\left(x+5\right)=x+5\)
c/ \(x^3-\dfrac{1}{9}x=0\)
3)\(^2-\left(x+5\right)^2=0\)
e/ \(\left(x+2\right)^2-\left(x-2\right)\left(x+2\right)=0\)
f/ \(x\left(2x-3\right)-6+4x=0\)
g/ \(2\left(3x-2\right)^2-9x^2+4=0\)
h/ \(x^2\left(x+1\right)+2x\left(x+1\right)=0\)
i/ \(4x^2+9x+5=0\)
