=>x^2=-4x+12
=>x^2+4x-12=0
=>(x+6)(x-2)=0
=>x=2; x=-6
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Giải các pt sau:
\(\dfrac{5}{x^2-2x+2}-\dfrac{8}{x^2-2x+5}=3\)
\(\dfrac{x^2-4x+3}{2x}+\dfrac{x^2+12x+3}{x^2+3}=4\)
GIẢI PT
\(\sqrt{x^2+10x+25}=4\)
\(\sqrt{x-2}+3=5\)
\(\sqrt{x^2-x+4}-x^2+x-2=0\)
\(\dfrac{\sqrt{x}-1}{\sqrt{x}+2}=\dfrac{1}{3}\)
Giải phương trình:
\(\dfrac{1}{x}+\dfrac{1}{x+1}+\dfrac{1}{x+2}+\dfrac{1}{x+3}+\dfrac{1}{x+4}=0\)
(1) giải pt quy về ax^2+bx+c01) x^23x 2) x^2-3x4 3) x^4-5x^2+60 4) x^39x5) left(x+2right)left(x-3right)x^2-4 6) dfrac{x+11}{x^2-1}-dfrac{x-1}{x+1}dfrac{2left(x+7right)}{x+1}giúp mk vs mk cần gấp
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(1) giải pt quy về \(ax^2+bx+c=0\)
1) \(x^2=3x\) 2) \(x^2-3x=4\)
3) \(x^4-5x^2+6=0\) 4) \(x^3=9x\)
5) \(\left(x+2\right)\left(x-3\right)=x^2-4\) 6) \(\dfrac{x+11}{x^2-1}-\dfrac{x-1}{x+1}=\dfrac{2\left(x+7\right)}{x+1}\)
giúp mk vs mk cần gấp
Giải phương trình :
a) \(\sqrt{2x^2-\sqrt{2}x+\dfrac{1}{4}}=\sqrt{2}x\)
b)\(\sqrt{4x+8}+\dfrac{1}{3}\sqrt{9x+18}=3\sqrt{\dfrac{x+2}{4}}+\sqrt{2}\)
26 tháng 11 2023 lúc 15:22
Giải hpta)left{{}begin{matrix}dfrac{4}{2x-3y}+dfrac{5}{3x+y}-2dfrac{3}{3x+y}-dfrac{5}{2x-3y}21end{matrix}right.b)left{{}begin{matrix}dfrac{7}{x-y+2}-dfrac{5}{x+y-1}dfrac{9}{2}dfrac{3}{x-y+2}+dfrac{2}{x+y-1}4end{matrix}right.c)left{{}begin{matrix}dfrac{3}{2x-y}-dfrac{6}{x+y}-1dfrac{1}{2x-y}-dfrac{1}{x+y}0end{matrix}right.d)left{{}begin{matrix}dfrac{4}{x+y-1}-dfrac{5}{2x-y+3}dfrac{5}{2}dfrac{3}{x+y-1}+dfrac{1}{2x-y+3}dfrac{7}{5}end{matrix}right.e)left{{}begin{matrix}dfrac{6}{x-2y}+dfrac{2}{x+2y}3d...
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Giải hpt
a)\(\left\{{}\begin{matrix}\dfrac{4}{2x-3y}+\dfrac{5}{3x+y}=-2\\\dfrac{3}{3x+y}-\dfrac{5}{2x-3y}=21\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{7}{x-y+2}-\dfrac{5}{x+y-1}=\dfrac{9}{2}\\\dfrac{3}{x-y+2}+\dfrac{2}{x+y-1}=4\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\dfrac{3}{2x-y}-\dfrac{6}{x+y}=-1\\\dfrac{1}{2x-y}-\dfrac{1}{x+y}=0\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\dfrac{4}{x+y-1}-\dfrac{5}{2x-y+3}=\dfrac{5}{2}\\\dfrac{3}{x+y-1}+\dfrac{1}{2x-y+3}=\dfrac{7}{5}\end{matrix}\right.\)
e)\(\left\{{}\begin{matrix}\dfrac{6}{x-2y}+\dfrac{2}{x+2y}=3\\\dfrac{3}{x-2y}+\dfrac{4}{x+2y}=-1\end{matrix}\right.\)
Bài 1: Giải các hệ PTa) left{{}begin{matrix}dfrac{2}{x}+dfrac{3}{y-2}4dfrac{4}{x}-dfrac{1}{y-2}1end{matrix}right. b) left{{}begin{matrix}3sqrt{x}+2sqrt{y}162sqrt{x}-3sqrt{y}-11end{matrix}right. c) left{{}begin{matrix}dfrac{1}{2}left(x+2right)left(y+1right)dfrac{1}{2}xy+5dfrac{1}{3}left(x-3right)left(y-5right)dfrac{1}{3}xy-dfrac{4}{3}end{matrix}right.
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Bài 1: Giải các hệ PT
a) \(\left\{{}\begin{matrix}\dfrac{2}{x}+\dfrac{3}{y-2}=4\\\dfrac{4}{x}-\dfrac{1}{y-2}=1\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}3\sqrt{x}+2\sqrt{y}=16\\2\sqrt{x}-3\sqrt{y}=-11\end{matrix}\right.\) c) \(\left\{{}\begin{matrix}\dfrac{1}{2}\left(x+2\right)\left(y+1\right)=\dfrac{1}{2}xy+5\\\dfrac{1}{3}\left(x-3\right)\left(y-5\right)=\dfrac{1}{3}xy-\dfrac{4}{3}\end{matrix}\right.\)
Giải hệ phương trình
a,\(\dfrac{3}{x-1}+\dfrac{1}{y+2}=4 Và\dfrac{2}{x-1}-\dfrac{1}{y+2}=1\)
giải hệ pt
a)\(\left\{{}\begin{matrix}\dfrac{1}{x-2}+\dfrac{1}{2y-1}=2\\\dfrac{2}{x-2}-\dfrac{3}{2y-1}\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{4}{x+y-1}-\dfrac{5}{7x-y+3}=\dfrac{5}{2}\\\dfrac{3}{x+y-1}+\dfrac{1}{2x-y+3}=\dfrac{7}{5}\end{matrix}\right.\)