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Tuyet Anh Nguyen
1.a)(3x-2)(4x+5)=0
12x^2+7x-10=0>>x1=2/3,x2=-5/4
b)4x^3+2x^2+4x+2=0>>x=-1
c)0,23x^2-4,21x-13,8=0>>x1=21,14,x2=-2,8...
d)10x^3-13x^2-178x-35=0>>x1=5,x2=-1/5
b2/a)2x^3+5x^2-3x=0>>x1=1/2,x2=-3
b)(3x-1)(x^2-7x+12)=0>>x1=1/3,x2=4,x3=...
b3/
a)x^2+x-2=0>>x1=1,x2=-2
b)x1=-1,x2=-6
b4/a)0,5x^2-1,5x-1,5x^2+x+4,5x-3=0>>-x...
b)3x/7-1=3x/7-x>>x=1
c)2x^2-13x+15=0>>x1=5,x2=3/2
P/s: Tham khảo nha
1) 4x(x-5)-(x-1)(4x-3)=5
<=>4x2-20x-4x2+3x+4x-3=5
<=>-13x=8
<=>x=-8/13
Thôi mỏi tay quá tìm x luôn nha
2) x=1.875
3) x=17/7
a) \(pt< =>x^3-3.x^2.3+3.x.9-27-\left(x^3-27\right)+9\left(x^2+2x+1\right)=4\)
\(< =>x^3-27-x^3+27-9x^2+27x+9x^2+18x+9=4\)
\(< =>45x=4-9=-5< =>x=-\frac{5}{45}=-\frac{1}{9}\)
b) \(pt< =>x\left(x^2-25\right)-\left(x^3+8\right)=17\)
\(< =>x^3-25x-x^3-8=17< =>25x=-8-17=-25< =>x=-1\)
a) ( x - 3 )3 - ( x - 3 )( x2 + 3x + 9 ) + 9( x + 1 )2 = 4
<=> x3 - 9x2 + 27x - 27 - ( x3 - 27 ) + 9( x2 + 2x + 1 ) = 4
<=> x3 - 9x2 + 27x - 27 - x3 + 27 + 9x2 + 18x + 9 = 4
<=> 45x + 9 = 4
<=> 45x = -5
<=> x = -5/45 = -1/9
b) x( x - 5 )( x + 5 ) - ( x + 2 )( x2 - 2x + 4 ) = 17
<=> x( x2 - 25 ) - ( x3 + 23 ) = 17
<=> x3 - 25x - x3 - 8 = 17
<=> -25x - 8 = 17
<=> -25x = 25
<=> x = -1
(x + 2)3 + (x - 2)3 = 5
<=> (x + 2 + x - 2)[(x + 2)2 - (x + 2)(x - 2) + (x - 2)2]
<=> 2x(2x2 + 8 - x2 + 4) = 5
<=> 2x(x2 + 12) = 5
<=> 2x3 + 24x = 5
<=> x \(\approx\)0,2075878727
\(\left(x+2\right)^3+\left(x-2\right)^3=5\)
\(\Leftrightarrow\left(x+2+x-2\right)\left(\left(x-2\right)^2-x^2+4+\left(x+2\right)^2\right)=5\)
\(\Leftrightarrow2x\left(x^2-4x+4-x^2+4+x^2+4x+4\right)=5\)
\(\Leftrightarrow2x\left(x^2+12\right)=5\)
\(\Leftrightarrow x^3+12x-2,5=0\)
\(\Leftrightarrow x\approx0,2\)
a) Đặt x^2+2x+2=t
\(\frac{4}{t-1}+\frac{3}{t+1}=\frac{3}{2}\Leftrightarrow\frac{4t+4+3t-3}{t^2-1}=\frac{7t+1}{t^2-1}=\frac{3}{2}\)
\(\Leftrightarrow14t+2=3t^2-3\Leftrightarrow3t^2-14t-5=3t\left(t-5\right)+t-5=0\)\(\Leftrightarrow\left(t-5\right)\left(3t+1\right)=0\Rightarrow\left[\begin{matrix}t=5\\t=-\frac{1}{3}\left(loai\right)\end{matrix}\right.\)
Với t=5 ta có (x+1)^2=4\(\Rightarrow\left[\begin{matrix}x+1=2\\x+1=-2\end{matrix}\right.\Rightarrow\left\{\begin{matrix}x=1\\x=-3\end{matrix}\right.\)