giải pt
(2x+1)(x+1)2(2x+3)=18
giải pt (x-1)(x^4 +x^3 -2x^2 +2x -1) = 0
∛(x-5) +∛(2x-1)-∛(3x+2)=-2 giải pt
2∛(x+2)^2-∛(x-2)^2=∛(x^2-4) giải pt
∛(x-5) +∛(2x-1)-∛(3x+2)=-2 giải pt
2∛(x+2)^2-∛(x-2)^2=∛(x^2-4) giải pt
∛(x-5) +∛(2x-1)-∛(3x+2)=-2 giải pt
2∛(x+2)^2-∛(x-2)^2=∛(x^2-4) giải pt
Giải pt = cách đưa về dạg pt tích: +) (x^2+x+1)(6-2x)=0
+) (8x-4)(x^2+2x+2)=0
Giải Pt: \(\left(4x+1\right)\sqrt{x^2+1}=2x^2-2x+2\)
giải các pt sau \(2x(x-3)-2x^2=4\)
\(2x\left(x-3\right)-2x^2=4\\ \Leftrightarrow2x^2-6x-2x^2=4\\ \Leftrightarrow-6x=4\\ \Leftrightarrow x=-\dfrac{2}{3}\\ KL:...\)
giải pt: (2x+1)(x+1)2(2x+3)=18
\(\left(2x+1\right)\left(2x+3\right)\left(x+1\right)^2=18\)
\(\Leftrightarrow\left(2x+2-1\right)\left(2x+2+1\right)\left(x+1\right)^2=18\)
\(\Leftrightarrow\left(\left(2x+2\right)^2-1\right)\left(x+1\right)^2=18\)
\(\Leftrightarrow4\left(x+1\right)^4-\left(x+1\right)^2-18=0\)
Đặt t = \(\left(x+1\right)^2\) \(\left(t\ge0\right)\)
pt \(\Leftrightarrow4t^2-t-18=0\)
\(\Leftrightarrow\left[{}\begin{matrix}t=\dfrac{9}{4}\left(nh\right)\\t=-2\left(l\right)\end{matrix}\right.\)
\(\Leftrightarrow\left(x+1\right)^2-\dfrac{9}{4}=0\)
\(\Leftrightarrow\left(x+1-\dfrac{3}{2}\right)\left(x+1+\dfrac{3}{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{5}{2}\end{matrix}\right.\)
Giải PT sau: \(\dfrac{x+2}{x-2}-\dfrac{1}{x}=\dfrac{x^{2}+3}{x^{2}-2x}\)
\(\frac{x+2}{x-2}-\frac{1}{x}=\frac{x^2+3}{x^2-2x}\)
<=> \(\frac{x+2}{x-2}-\frac{1}{x}=\frac{x^2+3}{x\left(x-2\right)}\)
<=> \(\frac{x\left(x+2\right)-x+2}{x\left(x-2\right)}=\frac{x^2+3}{x\left(x-2\right)}\)
=> x2+2x-x+2=x2+3
<=>x=3