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\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)
\(\left(x+1\right)\left(x+3\right)=\left(0,5x+2\right)\left(2x+1\right)\)
\(x^2+4x+3=x^2+4,5x+2\)
\(x^2-x^2+4x-4,5x-2+3=0\)
\(1-0,5x=0\)
\(x=2\)
\(\frac{-2}{x}=\frac{-x}{\frac{8}{25}}\)
=>\(\left(-x\right)x=\left(-2\right).\frac{8}{25}\)
=>\(-x^2=-\frac{16}{25}\)
=>\(x^2=\frac{16}{25}\)
=>\(x=-\frac{4}{5}\) hoặc \(x=\frac{4}{5}\)
\(-\frac{2}{x}=-\frac{x}{\frac{8}{25}}\Rightarrow-2.-\frac{8}{25}=x^2\Rightarrow\frac{16}{25}=x^2\Rightarrow x=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\)
thay x=3 vàoA ,ta có:
A=32017+3.32016+1
=32017 +32017+1
=2.32017+1
k nha
thay x =3 ,ta co
A=32017+3.32016+1
=32016+3.32016+1=32016.(1+3)+1=32016.3+1=32017+1
Đặt
x/5=y/4=k
khi đó:
x=5k
y=4k
Ta lại có:
x.y=4k.5k=20k^2=20
=> K=+-1
Khi k=1
Khi k=-1
Giải ra nhé
\(A=\sqrt{x}-3\ge-3\)với \(\forall x\)
\(A_{min}=-3\Leftrightarrow\sqrt{x}=0\)
\(\Rightarrow x=0\)
\(B=\sqrt{x}-1+2=\sqrt{x}+1\ge1\)với \(\forall x\)
\(\Rightarrow B_{min}=1\Leftrightarrow\sqrt{x}=0\)
\(\Rightarrow x=0\)
GIẢI CHI TIẾT RA GIÚP MK VS NHÉ!!!!MK RẤT CẢM ƠN
a.
\(\left(x+\frac{1}{2}\right)\times\left(x-\frac{3}{4}\right)=0\)
TH1:
\(x+\frac{1}{2}=0\)
\(x=-\frac{1}{2}\)
TH2:
\(x-\frac{3}{4}=0\)
\(x=\frac{3}{4}\)
Vậy \(x=-\frac{1}{2}\) hoặc \(x=\frac{3}{4}\)
b.
\(\left(\frac{1}{2}x-3\right)\times\left(\frac{2}{3}x+\frac{1}{2}\right)=0\)
TH1:
\(\frac{1}{2}x-3=0\)
\(\frac{1}{2}x=3\)
\(x=3\div\frac{1}{2}\)
\(x=3\times2\)
\(x=6\)
TH2:
\(\frac{2}{3}x+\frac{1}{2}=0\)
\(\frac{2}{3}x=-\frac{1}{2}\)
\(x=-\frac{1}{2}\div\frac{2}{3}\)
\(x=-\frac{1}{2}\times\frac{3}{2}\)
\(x=-\frac{3}{4}\)
Vậy \(x=6\) hoặc \(x=-\frac{3}{4}\)
c.
\(\frac{2}{3}-\frac{1}{3}\times\left(x-\frac{3}{2}\right)-\frac{1}{2}\times\left(2x+1\right)=5\)
\(\frac{2}{3}-\frac{1}{3}x+\frac{1}{2}-x-\frac{1}{2}=5\)
\(\left(\frac{1}{2}-\frac{1}{2}\right)-\left(\frac{1}{3}x+x\right)=5-\frac{2}{3}\)
\(-\frac{4}{3}x=\frac{13}{3}\)
\(x=\frac{13}{3}\div\left(-\frac{4}{3}\right)\)
\(x=\frac{13}{3}\times\left(-\frac{3}{4}\right)\)
\(x=-\frac{13}{4}\)
d.
\(4x-\left(x+\frac{1}{2}\right)=2x-\left(\frac{1}{2}-5\right)\)
\(4x-x-\frac{1}{2}=2x-\frac{1}{2}+5\)
\(4x-x-2x=\frac{1}{2}-\frac{1}{2}+5\)
\(x=5\)
\(x-2\sqrt{x}=0\)
\(\Rightarrow\sqrt{x}\left(\sqrt{x}-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-2=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}=2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
\(x=\sqrt{x}\)
\(\Rightarrow x-\sqrt{x}=0\)
\(\Rightarrow\sqrt{x}\left(\sqrt{x}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)