\(T\text{ìm}\) \(n\in N\)\(bi\text{ết:}\)
\(\left(a\right)\)\(\left(2x+1\right).y=5\)
\(\left(b\right)\)\(\left(x-5\right).\left(y+1\right)=2x+1\)
Giúp mk với
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a: \(\Leftrightarrow\dfrac{1}{4}x-1+\dfrac{2}{3}x-2-\dfrac{5}{8}x-1=5\)
\(\Leftrightarrow x\cdot\dfrac{7}{24}-4=5\)
\(\Leftrightarrow x\cdot\dfrac{7}{24}=9\)
hay x=216/7
b: \(\Leftrightarrow2x-10-\left[3x-13-3+5x-4\right]=7\)
\(\Leftrightarrow2x-10-\left(8x-20\right)=7\)
=>2x-10-8x+20=7
=>-6x+10=7
=>-6x=-3
hay x=1/2
c: \(\Leftrightarrow\left(\left|2x-1\right|-3\right)\cdot\left(-2\right)=6+5=11\)
\(\Leftrightarrow\left|2x-1\right|-3=-\dfrac{11}{2}\)
=>|2x-1|=-5/2(vô lý)
143. a) \(-6x^n.y^n.\left(-\dfrac{1}{18}x^{2-n}+\dfrac{1}{72}y^{5-n}\right)\)
\(=-6.\left(-\dfrac{1}{18}\right)x^n.x^{2-n}.y^n+\left(-6\right).\dfrac{1}{27}x^n.y^n.y^{5-n}\)
\(=\dfrac{1}{3}x^{n+2-n}y^n-\dfrac{2}{9}x^n.y^{n+5-n}\)
\(=\dfrac{1}{3}x^2y^n-\dfrac{2}{9}x^ny^5\)
b) Ta có: \(\left(5x^2-2y^2-2xy\right)\left(-xy-x^2+7y^2\right)\)
\(=5x^2\left(-xy\right)+5x^2.\left(-x^2\right)+5x^2.7y^2-2y^2.\left(-xy\right)-2y^2.\left(-x^2\right)-2y^2.7y^2-2xy.\left(-xy\right)-2xy\left(-x^2\right)-2xy.7y^2\)
\(=-5x^3y-5x^4+35x^2y^2+2xy^3+2x^2y^2-14y^4+2x^2y^2+2x^3y-14xy^3\)
Rút gọn các đa thức đồng dạng, ta có kết quả:
\(-5x^4-3x^3y+39x^2y^2-12xy^3-14y^4\)
Kết quả đã được xếp theo lũy thừa giảm dần của x
Bài 1:
a) \(3x^2-2x(5+1,5x)+10=3x^2-(10x+3x^2)+10\)
\(=10-10x=10(1-x)\)
b) \(7x(4y-x)+4y(y-7x)-2(2y^2-3,5x)\)
\(=28xy-7x^2+(4y^2-28xy)-(4y^2-7x)\)
\(=-7x^2+7x=7x(1-x)\)
c)
\(\left\{2x-3(x-1)-5[x-4(3-2x)+10]\right\}.(-2x)\)
\(\left\{2x-(3x-3)-5[x-(12-8x)+10]\right\}(-2x)\)
\(=\left\{3-x-5[9x-2]\right\}(-2x)\)
\(=\left\{3-x-45x+10\right\}(-2x)=(13-46x)(-2x)=2x(46x-13)\)
Bài 2:
a) \(3(2x-1)-5(x-3)+6(3x-4)=24\)
\(\Leftrightarrow (6x-3)-(5x-15)+(18x-24)=24\)
\(\Leftrightarrow 19x-12=24\Rightarrow 19x=36\Rightarrow x=\frac{36}{19}\)
b)
\(\Leftrightarrow 2x^2+3(x^2-1)-5x(x+1)=0\)
\(\Leftrightarrow 2x^2+3x^2-3-5x^2-5x=0\)
\(\Leftrightarrow -5x-3=0\Rightarrow x=-\frac{3}{5}\)
\(2x^2+3(x^2-1)=5x(x+1)\)
a: \(=xy^2+xy+x-y^3-y^2-y+\dfrac{2}{3}x^3y+\dfrac{1}{3}x^2y^3-2xy-y^3\)
\(=xy^2-xy+x-2y^3-y^2-y+\dfrac{2}{3}x^3y+\dfrac{1}{3}x^2y^3\)
b: \(=2x^3-4x^2+3x^3-3x^2-6x-15+5x^2\)
\(=5x^3-2x^2-6x-15\)
c: \(=x^2-4x+3+\left(x-4\right)\left(2x-1\right)-3x^3+2x-5\)
\(=-3x^3+x^2-2x-2+2x^2-x-8x+4\)
\(=-3x^3+3x^2-11x+2\)
\(\left(2x+1\right).y=5\)
\(\Rightarrow2x+1;y\inƯ\left(5\right)=\left\{1;5\right\}\)
\(TH1:\hept{\begin{cases}2x+1=1\\y=5\end{cases}\Rightarrow\hept{\begin{cases}x=0\\y=5\end{cases}}}\)
\(TH2:\hept{\begin{cases}2x+1=5\\y=1\end{cases}\Rightarrow\hept{\begin{cases}x=2\\y=1\end{cases}}}\)
Vậy....................
bn làm giùm mk câu kia rồi mk *ick lun