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a) (x2 - 121) . (2x + 3) = 0
=>x2-121=0 hoặc 2x+3=0
+)Nếu x2-121=0
=>x2=0+121=121
=>x2=(-11)2 hoặc x2=112
=>x=-11 hoặc x=11
+)Nếu 2x+3=0
=>2x=0-3=-3
=>x=(-3):2=\(\frac{-3}{2}\)
Vậy x=-11 hoặc x=11 hoặc x=\(\frac{-3}{2}\)
b) 2x2 - 8x = 0
=>2x(x-4)=0
=>x=0 hoặc x-4=0
Nếu x-4=0
=>x=0+4=4
Vậy x=0 hoặc x=4
c) (3x + 1)5 = (3x + 1)4
=>(3x+1)5:(3x+1)4=(3x+1)4:(3x+1)4
=>3x+1=1
=>3x=1-1=0
=>x=0:3=0
Vậy x=0
a)(x2 - 121) . (2x + 3) = 0
=>x2-121=0 hoặc 2x+3=0
- Với x2-121=0
<=>x2=121 <=>x=±11
- Với 2x+3=0
<=>2x=-3 <=>x=-3/2
b) 2x2 - 8x = 0
=>2x(x-4)=0
=>2x=0 hoặc x-4=0
=>x=0 hoặc x=4
\(\left(x-\frac{1}{2}\right)^2=0\)
<=> \(x-\frac{1}{2}=0\)
<=> \(x=\frac{1}{2}\)
\(\left(x-2\right)^2=1\)
<=> \(\hept{\begin{cases}x-2=1\\x-2=-1\end{cases}}\)
<=> \(\hept{\begin{cases}x=3\\x=1\end{cases}}\)
\(\left(2x+3\right)^2=\frac{9}{121}\)
<=-> \(\hept{\begin{cases}2x+3=\frac{3}{11}\\2x+3=\frac{-3}{11}\end{cases}}\)
<=> \(\hept{\begin{cases}2x=\frac{-30}{11}\\2x=\frac{-36}{11}\end{cases}}\)
\(2x^{10}=25x^8\)
<=> \(2x^{10}-25x^8=0\)
<=> \(x^8.\left(2x^2-25\right)=0\)
<=> \(\hept{\begin{cases}x^8=0\\2x^2-25=0\end{cases}}\)
<=> \(\hept{\begin{cases}x=0\\x^2=\frac{25}{2}\end{cases}}\)
<=> \(\hept{\begin{cases}x=0\\x=\sqrt{\frac{25}{2}}\\x=-\sqrt{\frac{25}{2}}\end{cases}}\)
<=> \(\hept{\begin{cases}x=\frac{-15}{11}\\x=\frac{-18}{11}\end{cases}}\)
2x - (x + 5) = 300
=> 2x - x - 5 = 300
=> x - 5 = 300
=> x = 305
5x + (x - 40) = 8
=> 5x + x - 40 = 8
=> 6x - 40 = 8
=> 6x = 48
=> x = 8
(x+3).(x-2).2x = 0
<=> x + 3 = 0 => x = -3
<=> x - 2 = 0 => x = 2
<=> 2x = 0 => x = 0
5x - (2x +128) = 314 + 121
=> 5x - 2x - 128 = 435
=> 3x - 128 = 435
=> 3x = 563
=> x = 563/3
x^2 + x = 0
=> x^2 = -x
=> x = 0 hoặc x = -1.
a) (2x-121)1990=1990
2x-121=1990:1990
2x-121=1
2x=1+121
2x=122
x=122:2
x=61
b)(3x-27).2016=0
3x-27=0:2016
3x-27=0
3x=0+27
x=27:3
x=9
c)x.(3x-9)=0
=> hai trường hợp x=0 hoặc 3x-9=0
3x-9=0
3x=0+9
3x=9
x=9:3
x=3
=> x =0;3
d)
(x-1)(x-5)=0
có 2 trường hợp
x-1=0 và x-5=0
x=1+0=1 x=5+0=5
=>x=1;5
k cho mình nha <3
a) (x – 45).27 = 0 ó x – 45 = 0 ó x = 45
b) 41.(2x – 8).13 = 0 ó 2x – 8 = 0 ó x = 4
c) (x – 36):18 = 12 ó x – 36 = 12.18 ó x = 216 + 36 ó x = 252
d) 43.(x – 18) = 86 ó x – 18 = 86:43 ó x = 2+18 ó x = 20
e) 96 : (121 – x) = 4 ó 121 – x = 96 : 4 ó 121 – x = 24 ó x = 121 – 24 ó x = 97
f) 340 : (15x+5) = 17 ó 15x + 15 = 340 :17 ó 15x + 5 = 20 ó 15x = 20 – 5 ó 15x = 15 ó x = 1
a) \(\left(x+2\right)^2-\left(3x-7\right)^2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=3x-7\\x+2=-3x+7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3x=-2-7\\x+3x=-2+7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-2x=-9\\4x=5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{9}{2}\\x=\dfrac{5}{4}\end{matrix}\right.\)
Mấy câu kia tương tự.
a) \(\left(x+2\right)^2-\left(3x-7\right)^2=0\)
\(\Leftrightarrow\left(x+2-3x+7\right)\left(x+2+3x-7\right)=0\)
\(\Leftrightarrow\left(-2x+9\right)\left(4x-5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}-2x+9=0\\4x-5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-2x=-9\\4x=5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-9}{-2}=\dfrac{9}{2}\\x=\dfrac{5}{4}\end{matrix}\right.\)
Vậy \(x=\dfrac{9}{2}\) hoặc \(x=\dfrac{5}{4}\)
b) lộn đề à
c) \(25\left(x-3\right)^2-49\left(2x+1\right)^2=0\)
\(\Leftrightarrow5^2\left(x-3\right)^2-7^2\left(2x+1\right)^2=0\)
\(\Leftrightarrow\left[5\left(x-3\right)\right]^2-\left[7\left(2x+1\right)\right]^2=0\)
\(\Leftrightarrow\left(5x-15\right)^2-\left(14x+7\right)^2=0\)
\(\Leftrightarrow\left(5x-15-14x-7\right)\left(5x-15+14x+7\right)=0\)
\(\Leftrightarrow\left(-9x-22\right)\left(19x-8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}-9x-22=0\\19x-8=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-9x=22\\19x=8\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{22}{-9}=\dfrac{-22}{9}\\x=\dfrac{8}{19}\end{matrix}\right.\)
Vậy \(x=\dfrac{-22}{9}\) hoặc \(x=\dfrac{8}{19}\)
d) \(9\left(3x-2\right)^2=121\left(1-4x\right)^2\)
\(\Leftrightarrow9\left(3x-2\right)^2-121\left(1-4x\right)^2=0\)
\(\Leftrightarrow3^2\left(3x-2\right)^2-11^2\left(1-4x\right)^2=0\)
\(\Leftrightarrow\left[3\left(3x-2\right)\right]^2-\left[11\left(1-4x\right)\right]^2=0\)
\(\Leftrightarrow\left(9x-6\right)^2-\left(11-44x\right)^2=0\)
\(\Leftrightarrow\left(9x-6-11+44x\right)\left(9x-6+11-44x\right)=0\)
\(\Leftrightarrow\left(53x-17\right)\left(-35x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}53x-17=0\\-35x+5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}53x=17\\-35x=-5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{17}{53}\\x=\dfrac{-5}{-35}=\dfrac{1}{7}\end{matrix}\right.\)
Vậy \(x=\dfrac{17}{53}\) hoặc \(x=\dfrac{1}{7}\)
Bài 1: Tìm x
a) 2x - 15 = -27
b) 2 (x + 1) – 3 = 7
c) 14 – (40 – x) = -27
d) 96 – 2(4 – 5x) = -12
e) – 40 – (– 3 – 33) + (40 – x) = – (– 47)
f) x(3x – 9). (121 – x2) = 0
g) – 62 – (38 + x) + 2x = – 100
h) (x + 1)2.(x2 + 1) = 0
i) (x – 12) – (2x + 31) = 6
k) 17/ (x + 3)3 : 3 – 1 = – 10
Bài 1: a) 2x - 15 = 27 => 2x = 27 + 15 = 42 => x = 42 : 2 = 21. b) 2(x + 1) - 3 = 7 => 2(x + 1) = 7 + 3 = 10 => x + 1 = 10 : 2 = 5 => x = 5 - 1 = 4. c) 14 - (40 - x) = -27 => 40 - x = 14 - (-27) = 41 => x = 40 - 41 = -1. d) 96 - 2(4 - 5x) = -12 => 2(4 - 5x) = 96 - (-12) = 108 => 4 - 5x = 108 : 2 = 54 => 5x = 4 - 54 = -50 => x = (-50) : 5 = -10.
a) ( x - 5555 ) ÷ 2 = 0
=) x - 5555 = 0.2
=) x - 5555 = 0
=) x = 0 + 5555
=) x = 5555