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b: \(=\dfrac{x^2-x+1-3+1-x^2}{\left(x+1\right)\cdot\left(x^2-x+1\right)}=\dfrac{-x-1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{-1}{x^2-x+1}\)
a: ĐKXĐ: \(x\notin\left\{3;-3\right\}\)
\(M=\left(\dfrac{x+3}{x-3}-\dfrac{18}{\left(x-3\right)\left(x+3\right)}+\dfrac{x-3}{x+3}\right):\dfrac{x+3-x-1}{x+3}\)
\(=\dfrac{x^2+6x+9-18+x^2-6x+9}{\left(x-3\right)\left(x+3\right)}\cdot\dfrac{x+3}{2}\)
\(=\dfrac{2x^2}{x-3}\cdot\dfrac{1}{2}=\dfrac{x^2}{x-3}\)
b: Để M nguyên thì \(x^2-9+9⋮x-3\)
\(\Leftrightarrow x-3\in\left\{1;-1;3;-3;9;-9\right\}\)
hay \(x\in\left\{4;2;6;0;12;-6\right\}\)
\(b,\widehat{EHG}=360-\widehat{EFG}-\widehat{FGH}-\widehat{FEH}=360-90-60-70=140\\ \Rightarrow x=180-\widehat{EHG}=40\)
Câu c ko thấy cái góc chỗ x tên gì nha
a: \(x=360^0-115^0-70^0-75^0=100^0\)
b: \(x=180^0-\left(360^0-60^0-90^0-70^0\right)=40^0\)
Bài 3:
Xét ΔIAB có
\(\widehat{AIB}+\widehat{IAB}+\widehat{IBA}=180^0\)
\(\Leftrightarrow\widehat{IAB}+\widehat{IBA}=115^0\)
hay \(\widehat{DAB}+\widehat{ABC}=230^0\)
Xét tứ giác ABCD có
\(\widehat{D}+\widehat{C}+\widehat{DAB}+\widehat{CBA}=360^0\)
\(\Leftrightarrow\widehat{D}+\widehat{C}=150^0\)
mà \(\widehat{C}-\widehat{D}=10^0\)
nên \(2\cdot\widehat{C}=160^0\)
\(\Leftrightarrow\widehat{C}=80^0\)
\(\Leftrightarrow\widehat{D}=70^0\)
Bài 3:
a: \(A=\dfrac{x^2-4-5-x-3}{\left(x-2\right)\left(x+3\right)}:\dfrac{\left(x-1\right)\left(x-4\right)}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{x^2-x-12}{\left(x-2\right)\left(x+3\right)}\cdot\dfrac{\left(x-2\right)\left(x+2\right)}{\left(x-1\right)\left(x-4\right)}\)
\(=\dfrac{\left(x-4\right)\left(x+3\right)}{\left(x-4\right)\left(x+3\right)}\cdot\dfrac{x+2}{x-1}=\dfrac{x+2}{x-1}\)
b: Để A=3/2 thì 3(x-1)=2(x+2)
=>3x-3=2x+4
=>x=7(nhận)
\(d.\) \(4\left(0,5-1,5x\right)=-\dfrac{5x-6}{3}.\)
\(\Leftrightarrow2-6x=\dfrac{-5x+6}{3}.\Leftrightarrow6-18x=-5x+6.\)
\(\Leftrightarrow-13x=0.\Leftrightarrow x=0.\)
Vậy \(x=0.\)
\(2x^3+5x^2-3x=0\Leftrightarrow x\left(2x^2+5x-3\right)=0\Leftrightarrow x\left(2x-1\right)\left(x+3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{2}\\x=-3\end{matrix}\right.\)
b: \(\Leftrightarrow8\left(1-3x\right)-2\left(3x+2\right)=140-15\left(2x+1\right)\)
=>8-24x-6x-4=140-30x-15
=>-30x+30x=115-4=111
=>0x=111(vô lý)