Tìm x
\(\left|2x-5\right|+\left|20-8x\right|=100\)
Tìm x :
\(a,x.\left(5x+10\right)+5.\left(x23+30\right)-9.\left(3x+5\right)=100\)
\(b,10.\left(8x+9x\right)+8.\left(2x-1\right)-2.\left(5-6x\right)=20\)
\(c,\left(x.5^2\right).\left(194+x.20\right)=50\)
Tìm nghiệm của các đa thức sau:
a) \(\left(2x-\dfrac{3}{2}\right)\left(\left|x\right|-5\right)\)
b) \(x-8x^4\)
c) \(x^2-\left(4x+x^2\right)-5\)
a: (2x-3/2)(|x|-5)=0
=>2x-3/2=0 hoặc |x|-5=0
=>x=3/4 hoặc |x|=5
=>\(x\in\left\{\dfrac{3}{4};5;-5\right\}\)
b: x-8x^4=0
=>x(1-8x^3)=0
=>x=0 hoặc 1-8x^3=0
=>x=1/2 hoặc x=0
c: x^2-(4x+x^2)-5=0
=>x^2-4x-x^2-5=0
=>-4x-5=0
=>x=-5/4
Chứng minh các biểu thức sau không phụ thuộc vào biến x:
a/ \(2x^2\left(4x+1\right)-8x^2\left(x+1\right)-\left(2x\right)^3-2x+3\)
b/ \(x\left(3x+12\right)-\left(7x-20\right)+x^2\left(2x-3\right)-x\left(2x^2+5\right)\)
a/ \(=8x^3+2x^2-8x^3-8x^2-8x^3-2x+3=-8x^3-6x^2-2x+3\)
b/ \(=3x^2+12x-7x+20+2x^3-3x^2-2x^3-5x=20\)
Biểu thức A phụ thuộc vào x còn B thì không.
Thực hiện phép tính:
a) \(2x.\left(2x^2+3x-1\right)\)
b) \(\left(x+5\right).\left(2x-3\right)\)
c) \(\left(x+1\right)^2-x\left(2+3x\right)\)
d) \(\left(2x^3+x^2-8x+3\right):\left(2x-3\right)\)
b: \(=2x^2-3x+10x-15=2x^2+7x-15\)
Tìm x
\(a.\left(2x+1\right)\left(4x^2-2x+1\right)-8x\left(x^2+2\right)=17\)
\(b.\left(3x-5\right)^2-x\left(3x-5\right)=0\)
Tìm x :
a)\(x\left(8x-2\right)-8x^2+12=0\)
b) \(x\left(4x-5\right)-\left(2x+1\right)^2=0\)
\(a,x\left(8x-2\right)-8x^2+12=0\)
\(\Rightarrow8x^2-2x-8x^2+12=0\)
\(\Rightarrow-2x+12=0\)
\(\Rightarrow-2x=-12\)
\(\Rightarrow x=6\)
\(b,x\left(4x-5\right)-\left(2x+1\right)^2=0\)
\(\Rightarrow4x^2-5x-4x^2-4x-1=0\)
\(\Rightarrow-9x-1=0\)
\(\Rightarrow-9x=1\)
\(\Rightarrow x=\frac{-1}{9}\)
a) x(8 - 2) - 8x2 + 12 = 0
x(8 - 2) - 8x2 = 12 - 0
x(8 - 2) - 8x2 = 12
2x = 12
x = 6
b) x(4x - 5) - (2x + 1)2 = 0
9x - 1 = 0
9x = 0 + 1
9x = 1
x = -1/9
\(a,x\left(8x-2\right)-8x^2+12=0\)
\(\Leftrightarrow8x^2-2x-8x^2+12=0\)
\(\Leftrightarrow-2x+12=0\)
\(\Leftrightarrow-2x=-12\)
\(\Leftrightarrow x=6\)
\(b,x\left(4x-5\right)-\left(2x+1\right)^2=0\)
\(\Leftrightarrow4x^2-5x-4x^2-4x-1=0\)
\(\Leftrightarrow-9x-1=0\)
\(\Leftrightarrow-9x=1\)
\(\Leftrightarrow x=-\frac{1}{9}\)
Tìm x biết
1) \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
2)\(\left(8x-3\right)\left(3x+2\right)-\left(4x+7\right)\left(x+4\right)=\left(2x+1\right)\left(5x+1\right)-33\)
3)\(6x\left(3x+5\right)-2x\left(9x-2\right)+\left(17-x\right)\left(x-1\right)+x\left(x-18\right)-17x^2=0\)
4)\(\left(x-1\right)\left(x+2\right)-\left(x-3\right)+5x-7=0\)
Giúp mình nha. Camon nhiều
Giải các phương trình sau:
a)\(\frac{\left(9x-0.7\right)}{4}-\frac{\left(5x-1.5\right)}{7}=\frac{\left(7x-1.1\right)}{3}-\frac{5\left(0.4-2x\right)}{6}\)
b)\(\frac{3x-1}{x-1}-\frac{2x+5}{x+3}=1-\frac{4}{\left(x-1\right)\left(x+3\right)}\)
c)\(\frac{3}{4\left(x-5\right)}+\frac{15}{50-2x^2}=-\frac{7}{6\left(x+5\right)}\)
d)\(\frac{8x^2}{3\left(1-4x\right)^2}=\frac{2x}{6x-3}-\frac{1+8x}{4+8x}\)
Tìm x :
a) \(3^{x+1}+2x.3^x-18x-27=0\)
b) \(\dfrac{1}{2}\left|2x+5\right|-\dfrac{5}{4}\left|4x+10\right|+\dfrac{7}{3}\left|-20-8x\right|=\dfrac{1}{6}\)
a: \(\Leftrightarrow3^x\cdot3+2x\cdot3^x-18x-27=0\)
\(\Leftrightarrow3^x\left(2x+3\right)-9\left(2x+3\right)=0\)
\(\Leftrightarrow\left(2x+3\right)\left(3^x-9\right)=0\)
=>x=2 hoặc x=-3/2
b: \(\Leftrightarrow\left|2x+5\right|\cdot\dfrac{1}{2}-\dfrac{5}{4}\cdot2\cdot\left|2x+5\right|+\dfrac{7}{3}\cdot4\cdot\left|2x+5\right|=\dfrac{1}{6}\)
\(\Leftrightarrow\left|2x+5\right|=\dfrac{1}{44}\)
=>2x+5=1/44 hoặc 2x+1=-1/44
=>x=-219/88 hoặc x=-221/88