Tìm x :
\(\left(3+2x\right)^{10}-\left(3-2x\right)^8=10\)
Tick cho ai làm nhanh nhất :v
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\(\left(x+3\right)^3-x\left(3x-1\right)^2+\left(2x+1\right)\left(4x^2-2x+1\right)=28\)
\(\Leftrightarrow x^3+9x^2+27x+27-x\left(9x^2-6x+1\right)+8x^3-4x^2+2x+4x^2-2x+1=28\)
\(\Leftrightarrow x^3+9x^2+27x+27-9x^3+6x^2-x+8x^3-4x^2+2x+4x^2-2x+1-28=0\)
\(\Leftrightarrow15x^2+26x=0\)
\(\Leftrightarrow15x\left(x+\frac{26}{15}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}15x=0\\x+\frac{26}{15}=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-\frac{26}{15}\end{cases}}}\)
\(3\left(2x-6\right)-4\left(1+2x\right)-2\left(x-4\right)=4-3\left(1+2x\right)-5\left(1-2x\right).\)
\(\Leftrightarrow6x-18-4-8x-2x+8=4-3-6x-5+10x\)
\(\Leftrightarrow-4x-14=4x-4\)
\(\Leftrightarrow-4x-4x=-4+14\)
\(\Leftrightarrow-8x=10\)
\(\Leftrightarrow x=-\frac{5}{4}\)
3.2x - 3.6 - 4+4.2x - 2x-2.(-4) = 4 - 3+3.2x - 5-5.(-2x)
6x -18 -4 +8x -2x +8 = 4 -3 +6x -5 +10x
6x +8x -2x -18-4+8 = 4-3-5+6x+10x
12x-22 = -4+16x
12x-16x = -4+22
-4x = 18
x = 18: (-4)
x = -4,5
Mình không chắc là đúng đâu đấy, tại giải vội quá, nếu sai thì ming bạn thông cảm ^.^
Ta có (x - 2)2 - (x - 3) (x + 3) = 6
=> (x - 2)2 - (x2 - 32) = 6
=> x2 - 4x + 22 - x2 + 32 = 6
=> x2 - x2 - 4x + 4 + 9 = 6
=> - 4x + 13 = 6
=> -4x = -7
=> x = \(\frac{-7}{-4}=\frac{7}{4}\)
a: \(P=\left(\dfrac{3x+6}{2\left(x^2+4\right)}-\dfrac{2x^2-x-10}{\left(x+1\right)\left(x^2+1\right)}\right):\left(\dfrac{10\left(x^2-1\right)+3\left(x^2+1\right)\left(x-1\right)-6\left(x+1\right)\left(x^2+1\right)}{\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\cdot2}\right)\cdot\dfrac{2}{x-1}\)
\(=\left(\dfrac{\left(3x+6\right)\left(x^3+x^2+x+1\right)-\left(2x^2+8\right)\left(2x^2-x-10\right)}{2\left(x^2+4\right)\left(x+1\right)\left(x^2+1\right)}\right)\cdot\dfrac{\left(x^2+1\right)\left(x-1\right)\left(x+1\right)\cdot2}{-3x^3+x^2-3x-13}\cdot\dfrac{2}{x-1}\)
\(=\dfrac{-x^4+11x^3+13x^2+17x+16}{\left(x^2+4\right)}\cdot\dfrac{2}{-3x^3+x^2-3x-13}\)
(2x+9)/(x+1)(x+8)-(2x+15)/(x+8)(x+7)+(2x+10)/(x+7)(x+3)=4/3
(x+1+x+8)/(x+1)(x+8)-(x+8+x+7)/(x+8)(x+7)+(x+7+x+3)/(x+7)(x+3)=4/3
1/(x+8)+1/(x+1)-1/(x+7)-1/(x+8)+1/(x+7)+1/(x+3)=4/3
1/(x+1)+1/(x+3)=4/3
(x+3+x+1)/(x+3)(x+1)=4/3
(2x+4)/(x+3)(x+1)=4/3
=>(2x+4).3=(x+3)(x+1).4
6(x+2)=4(x+3)(x+1)
3(x+2)=2(x+3)(x+1)
3x+6=2(x^2+4x+3)
3x+6=2x^2+8x+6
2x^2+8x+6-3x-6=0
2x^2+5x=0
x(2x+5)=0
=> x=0 hoac 2x+5=0
=> x=0 hoac x=-5/2