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\(ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow4\sqrt{2x-1}+3\sqrt{2x-1}=4\\ \Leftrightarrow\sqrt{2x-1}=\dfrac{4}{7}\\ \Leftrightarrow2x-1=\dfrac{16}{49}\\ \Leftrightarrow x=\dfrac{65}{98}\left(tm\right)\)
\(\sqrt{32x-16}+\sqrt{18x-9}=4\) (ĐKXĐ: x≥\(\dfrac{1}{2}\))
⇔ \(\sqrt{16\left(2x-1\right)}+\sqrt{9\left(2x-1\right)}=4\)
⇔ 4\(\sqrt{2x-1}\)\(+3\sqrt{2x-1}\)= 4
⇔ 7\(\sqrt{2x-1}=4\)
⇔ \(\sqrt{2x-1}=\dfrac{4}{7}\)
⇔ \(2x-1=\dfrac{16}{49}\)
⇔ 2x = \(\dfrac{65}{49}\)
⇔ x = \(\dfrac{65}{98}\) (TM)
Vậy x = \(\dfrac{65}{98}\)



0,75x-3,5=-0,25x
0,75x+0,25x=3,5
x(0,75+0,25)=3,5
x.1=3,5
x=3,5
Chúc bạn học tốt!



\(\frac{7}{y+4}=\frac{63}{117}\)\(\Rightarrow63\cdot\left(y+4\right)=7\cdot117\)
\(\Rightarrow63y+63\cdot4=819\)
\(\Rightarrow63y+252=819\)
\(\Rightarrow63y=819-252\)
\(\Rightarrow63y=567\)
\(\Rightarrow y=\frac{567}{63}\)
\(\Rightarrow y=9\)
Vậy y=9
(các bạn nhớ cho mk nha )
Bạn tự vẽ sơ đồ nhé!
\(R=R1+\left(\dfrac{R2.R3}{R2+R3}\right)=10+\left(\dfrac{6.3}{6+3}\right)=12\Omega\)
\(I=U:R=12:12=1A\)
\(\Rightarrow I=I1=I23=1A\left(R1ntR23\right)\)
\(U23=U-U1=12-\left(10,1\right)=2V\)
\(\Rightarrow U23=U2=U3=2V\)(R2//R3)
\(\left\{{}\begin{matrix}I2=U2:R2=2:6=\dfrac{1}{3}A\\I3=U3:R3=2:3=\dfrac{2}{3}A\end{matrix}\right.\)
a) \(R_{23}=\dfrac{6.3}{6+3}=2\left(\Omega\right)\)
\(R_{tđ}=R_1+R_{23}=10+2=12\left(\Omega\right)\)
b) \(I=I_1=I_{23}=\dfrac{U}{R_{tđ}}=\dfrac{12}{12}=1\left(A\right)\)
\(U_1=U-U_{23}=12-2=10\left(V\right)\)
\(U_{23}=U_2=U_3=I_{23}.R_{23}=1.2=2\left(V\right)\)
\(\left\{{}\begin{matrix}I_2=\dfrac{U_2}{R_2}=\dfrac{2}{10}=0,2\left(A\right)\\I_3=\dfrac{U_3}{R_3}=\dfrac{2}{6}=\dfrac{1}{3}\left(A\right)\end{matrix}\right.\)