Tim x
(2x - 5)2 - (x-2).(4x+1) = 0
Cac ban giup minh vs nhe
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2: \(\Leftrightarrow\left(x^2+x\right)^2-5\left(x^2+x\right)-6=0\)
\(\Leftrightarrow x^2+x-6=0\)
=>(x+3)(x-2)=0
=>x=-3 hoặc x=2
5: \(\Leftrightarrow\left(x+2\right)\left(x-1\right)\left(x+1\right)=0\)
hay \(x\in\left\{-2;1;-1\right\}\)
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -2
=> -11x + (-39) = -2
=> -11x = -2 - (-39)
=> -11x = 37
=> x = \(\frac{-37}{11}\)
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -6
=> -11x - 39 = -6
=> -11x = -6+39
=> -11x = 33
=> x = 33:(-11)
=> x = -3
\(\frac{x^3-x^2-x-2}{x^5-3x^4+4x^3-5x^2+3x-2}\)
\(=\frac{x^3-2x^2+x^2-2x+x-2}{x^5-2x^4-x^4+2x^3+2x^3-4x^2-x^2+2x+x-2}\)
\(=\frac{\left(x^3-2x^2\right)+\left(x^2-2x\right)+\left(x-2\right)}{\left(x^5-2x^4\right)-\left(x^4-2x^3\right)+\left(2x^3-4x^2\right)-\left(x^2-2x\right)+\left(x-2\right)}\)
\(=\frac{x^2\left(x-2\right)+x\left(x-2\right)+\left(x-2\right)}{x^4\left(x-2\right)-x^3\left(x-2\right)+2x^2\left(x-2\right)-x\left(x-2\right)+\left(x-2\right)}\)
\(=\frac{\left(x-2\right)\left(x^2+x+1\right)}{\left(x-2\right)\left(x^4-x^3+2x^2-x+1\right)}=\frac{x^2+x+1}{x^4-x^3+2x^2-x+1}\)
1.a)x+7=-5-14
x+7=-19
x=-19-7
x=-26
Vậy x=-26
b)3x-4=(-2)3-11
3x-8=-11
3x=-11+8
3x=-3
x=-3:3
X=-1
Vậy x=-1
c)11+(4x-11)=-9-(-15)
11+(4x-11)=-9+15
11+(4x-11)=6
4x-11=6-11
4x=6
x=\(\dfrac{6}{4}\)
Vậy x=\(\dfrac{6}{4}\)
d)\(\left|2x-1\right|=5\)
⇒2x-1=\(\pm5\)
+Nếu 2x-1=5
2x=6
x=6:2
x=3
Vậy x=3
+Nếu 2x-1=-5
2x=-5+1
2x=-4
x=-4:2
x=-2
Vậy xϵ{3;-2}
e)\(\left|x-7\right|+3=25\)
\(\left|x-7\right|=22\)
⇒x-7=\(\pm22\)
+Nếu x-7=22
x=22+7=29
+Nếu x-7=-22
x=-22+7
x=-15
Vậy xϵ{29;-15}
\(\left(x+4\right)\left(x^2-4x+16\right)-x\left(x-5\right)\left(x+5\right)=264\)
\(\Leftrightarrow x^3+64-x\left(x^2-25\right)=264\)
\(\Leftrightarrow x^3+64-x^3+25x=264\)
\(\Leftrightarrow25x=200\)
\(\Leftrightarrow x=8\)
\(4x^2-20x+25-4x^2-x+8x+2=0\)
\(-13x+27=0\)
\(x=\frac{27}{13}\)