-2/3-1/3(2x-5)=3/2 tim x
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tim x: a.4/(x^2+2x+1)+3/(x^2+2x+3)=3/2
b.4x/(x^2+4x+5)+7x/(x^2-4x+5)=39/10
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\(\Rightarrow\left[\begin{matrix}x+1=2\\x+1=-2\end{matrix}\right.\Rightarrow\left\{\begin{matrix}x=1\\x=-3\end{matrix}\right.\)
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Tim x x(x+5)(x-5) - (x+2)(x^2-2x+4)=5
(x+1)^3 - (x-1)^3 -6(x-1)^2 = -19
`#3107.101107`
\(x(x+5)(x-5) - (x+2)(x^2-2x+4)=5\)
`<=> x(x^2 - 25) - (x^3 + 2^3) = 5`
`<=> x^3 - 25x - x^3 - 8 = 5`
`<=> -25x - 8 = 5`
`<=> -25x = 13`
`<=> x = -13/25`
Vậy, `x = -13/25`
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\((x+1)^3 - (x-1)^3 -6(x-1)^2 = -19\)
`<=> x^3 + 3x^2 + 3x + 1 - (x^3 - 3x^2 + 3x - 1) - 6(x^2 - 2x + 1) = -19`
`<=> x^3 + 3x^2 + 3x + 1 - x^3 + 3x^2 - 3x + 1 - 6x^2 + 12x - 6 = -19`
`<=> (x^3 - x^3) + (3x^2 + 3x^2 - 6x^2) + (3x - 3x + 12x) + (1 + 1 - 6) = -19`
`<=> 12x - 4 = -19`
`<=> 12x = -15`
`<=> x = -15/12 = -5/4`
Vậy, `x = -5/4.`
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`@` Sử dụng các hđt:
`1)` `A^2 + B^2 = (A - B)(A + B)`
`2)` `A^3 + B^3 = (A + B)(A^2 - AB + B^2)`
`3)` `(A - B)^3 = A^3 - 3A^2B + 3AB^2 - B^3`
`4)` `(A + B)^3 = A^3 + 3A^2B + 3AB^2 + B^3`
`5)` `(A - B)^2 = A^2 - 2AB + B^2.`
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a: \(x\left(x+5\right)\left(x-5\right)-\left(x+2\right)\left(x^2-2x+4\right)=5\)
=>\(x\left(x^2-25\right)-x^3-8=5\)
=>\(x^3-25x-x^3-8=5\)
=>-25x=13
=>\(x=-\dfrac{13}{25}\)
b: \(\left(x+1\right)^3-\left(x-1\right)^3-6\left(x-1\right)^2=-19\)
=>\(x^3+3x^2+3x+1-x^3+3x^2-3x+1-6\left(x^2-2x+1\right)=-19\)
=>\(6x^2+2-6x^2+12x-6=-19\)
=>12x-4=-19
=>12x=-15
=>x=-5/4
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Tim x, biet:
a) (-5)-(x+5)=3-(2x-5)
b)2(x-3)-3(x-2)=3(x+1)-5(x-2)
C)4(1-2x)=(-3)-3(2+3x)
Giải ngay nhé, chiều mình đi học rồi.
tim x biet
(2x=1)^2 - 4(x=2)^2=9
3(x-1)^2 -3x(x-5)=1
3(x+2)^2+ (2x-1)^2 =7
7(x+3)(x-3)=36
Tim xthuoc Z biet:
1,|2x-5|-|2x+9|=0
2,|x+1|-|x+2|-|3-x|=7
3,|2x+3|+|3x+2|-|4-x|=10
tim x biet : (2x+3)^2x - 2*(2x+3)*(2x-5)+(2x-5)^2=x^2+6x+64
\(\Leftrightarrow\left(2x+3-2x+5\right)^2=x^2+6x+64\)
=>x^2+6x=0
=>x(x+6)=0
=>x=0 hoặc x=-6
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TINH
B=(1+3)nhân(1+3^2)nhân(1+3^4)nhân(1+3^8)trừ 3^16phan2
Tim x
a) (x-5)^2-(x+3)^2=1
b) (2x-1)^2-(2x-3)^2=4
tim x
/2x-3/-2/4-x/=5
/x/-/2x+3/=x-1
Tim x biết
a)2x(x-5)-x(3+2x)=26
b)5x(x-1)=x-1
C)2(x+5)-x^2-5x=0
d)(2x-3)^2(x+5)=0
e)3x^3-48x=0
f)x^3+x^2-4x=0
Rối mắt , loạn thần kinh toàn là x không
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a) 2x(x - 5) - x(3 + 2x) = 26
2x2 - 10x - 3x - 2x2 = 26
-10x - 3x = 26
-13x = 26 => x = -2
b) 5x(x - 1) = x - 1
5x(x - 1) - (x - 1) = 0
(x - 1)(5x - 1) = 0
x - 1 = 0 => x = 1
5x - 1 = 0 => x = \(\frac{1}{5}\)
Vậy x = 0; x = \(\frac{1}{5}\)
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