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a) \(\left(\left|x\right|+3\right):5-3=12\Leftrightarrow\left|x\right|+3=45\Leftrightarrow\orbr{\begin{cases}x=42\\x=-42\end{cases}}\)
b) \(86:\left[2\left(2x-1\right)^2-7\right]+4^2=2\cdot3^2\Leftrightarrow2\left(2x-1\right)^2-7=43\Leftrightarrow\left(2x-1\right)^2=25\Leftrightarrow\orbr{\begin{cases}2x-1=-5\\2x-1=5\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-2\\x=3\end{cases}}\)
a) \(\left(\left|x\right|+3\right)\div5-3=12\)
\(\left(\left|x\right|+3\right)\div5=12+3\)
\(\left(\left|x\right|+3\right)\div5=15\)
\(\left|x\right|+3=15.5\)
\(\left|x\right|+3=75\)
\(\left|x\right|=75-3\)
\(\left|x\right|=72\)
\(\Rightarrow\orbr{\begin{cases}x=72\\x=-72\end{cases}}\)
Vậy \(x\in\left\{72;-72\right\}\)
b) \(86\div\left[2,\left(2x-1\right)^2-7\right]+4^2=2.3^2\)
\(86\div\left[2.\left(2x-1\right)^2-7\right]+16=18\)
\(86\div\left[2.\left(2x-1\right)^2-7\right]=18-16\)
\(86\div\left[2.\left(2x-1\right)^2-7\right]=2\)
\(2.\left(2x-1\right)^2-7=86\div2\)
\(2.\left(2x-1\right)^2-7=43\)
\(2.\left(2x-1\right)^2=43+7\)
\(2.\left(2x-1\right)^2=50\)
\(\left(2x-1\right)^2=50\div2\)
\(\left(2x-1\right)^2=25\)
\(\left(2x-1\right)^2=5^2\)
\(\Rightarrow2x-1=5\)
\(2x=5+1\)
\(2x=6\)
\(x=6\div2\)
\(x=3\)
1)(2x+1)(y-4)=12
Ta xét bảng sau:
2x+1 | 1 | -1 | 2 | -2 | 3 | -3 | 4 | -4 | 6 | -6 | 12 | -12 |
2x | 0 | -2 | 1 | -3 | 2 | -4 | 3 | -5 | 5 | -7 | 11 | -13 |
x | 0 | -1 | 1 | -2 | ||||||||
y-4 | 12 | -12 | 4 | -4 | ||||||||
y | 16 | -8 | 8 | 0 |
2)n-7 chia hết cho n+1
n+1-8 chia hết cho n+1
=>8 chia hết cho n+1 hay n+1EƯ(8)={1;-1;2;-2;4;-4;8;-8}
=>nE{2;0;3;-1;5;-3;9;-7}
3)|x+3|+2<4
|x+3|<4-2
|x+3|<2
=>|x+3|=1 và |x+3|=0
=>x+3=1 hoặc x+3=-1 hay x+3=0
x=1-3 x=-1-3 x=0-3
x=-2 x=-4 x=-3
Vậy x=-2;-3 hoặc x=-4
PT \(\Rightarrow2x^2+2x-3x-6=2x^2-x+4x-8-2\)
\(\Rightarrow-4x=-4\) \(\Leftrightarrow x=1\)
Vậy \(x=1\)
Ta có: \(2x\left(x+1\right)-3\left(x+2\right)=x\left(2x-1\right)+4\left(x-2\right)-2\)
\(\Leftrightarrow2x^2+2x-3x-6=2x^2-x+4x-8-2\)
\(\Leftrightarrow2x^2-x-6=2x^2+3x-10\)
\(\Leftrightarrow2x^2-x-6-2x^2-3x+10=0\)
\(\Leftrightarrow-4x+4=0\)
\(\Leftrightarrow-4x=-4\)
hay x=1
Vậy: x=1
mk nhớ là làm bài này rồi mà nhỉ, bạn kéo thanh cuốn xuống xíu là thấy bài của mk
1 /x+3/=-21+7
/x+3/=-14
xét 2 trường hợp x+3=14 hoac x+3=-14
cai x+3=14 tu lam
x+3=-14 nhu ben tren dinh ay
\(a,3\left(x-12\right)-2\left(2x-4\right)=3-2\left(x-11\right)\)
\(3x-36-4x+8=3-2x+22\)
\(3x-4x+2x=3+22+36-8\)
\(x=53\)
\(a,3\left(x-12\right)-2\left(2x-4\right)=3-2\left(x-11\right)\)
\(3x-36-4x+8=3-2x+22\)
\(3x-4x+2x=3+22+36-8\)
\(x=53\)
\(b,5\left(x-7\right)-4\left(x-8\right)=5-2\left(x-4\right)+2x\)
\(5x-35-4x+32=5-2x+8+2x\)
\(5x-4x+2x-2x=5+8+35-32\)
\(x=16\)
\(86:\left[2.\left(2x-1\right)^2-7\right]+4^2=2.3^2\)
\(86:\left[2.\left(2x-1\right)^2-7\right]+16=2.9\)
\(86:\left[2.\left(2x-1\right)^2-7\right]=2\)
\(2.\left(2x-1\right)^2-7=43\)
\(2.\left(2x-1\right)^2=50\)
\(\left(2x+1\right)^2=25=5^2=\left(-5\right)^2\)
\(\Rightarrow\orbr{\begin{cases}2x+1=5\\2x+1=-5\end{cases}\Rightarrow\orbr{\begin{cases}2x=4\\2x=-6\end{cases}\Rightarrow}\orbr{\begin{cases}x=2\\x=-3\end{cases}}}\)