24x3-10x2-3x+1=0 giải phương trình giúp mình với.đúng mình tick cho
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\left(3x-\frac{1}{2}\right)\left(-\frac{2}{3x+1}\right)=0\)
Để là như vầy hả
\(\left(3x-\frac{1}{2}\right).\left(-\frac{2}{3x+1}\right)=0\)
\(\Rightarrow\frac{6x-1}{2}.\left(-\frac{2}{3x-1}\right)=0\)
\(\Rightarrow\frac{1-6x}{3x-1}=0\Rightarrow1-6x=0\Rightarrow6x=1\Rightarrow x=\frac{1}{6}\)
Vậy x = 1/6
Ta có: \(\hept{\begin{cases}\left(\frac{1}{x}+y\right)+\left(\frac{1}{x}-y\right)=\frac{5}{8}\\\left(\frac{1}{x}+y\right)-\left(\frac{1}{x}-y\right)=-\frac{3}{8}\end{cases}\Leftrightarrow\hept{\begin{cases}\frac{2}{x}=\frac{5}{8}\\2y=-\frac{3}{8}\end{cases}\Leftrightarrow}\hept{\begin{cases}x=\frac{16}{5}\\y=-\frac{3}{16}\end{cases}}}\)
\(\Leftrightarrow2sin^3x+1-sin^2x-1=0\)
\(\Leftrightarrow sin^2x\left(2sinx-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}sinx=0\\sinx=\dfrac{1}{2}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=k\pi\\x=\dfrac{\pi}{6}+k2\pi\\x=\dfrac{5\pi}{6}+k2\pi\end{matrix}\right.\)
\(9x^2-1+\left(3x-1\right).\left(x+2\right)=0\)
\(\Leftrightarrow9x^2-1+3x^2+6x-x-2=0\)
\(\Leftrightarrow9x^2+3x^2+6x-x=0+1+2\)
\(\Leftrightarrow12x^2+5x=3\)
\(\Leftrightarrow12x^2+5x-3=0\)
\(\Leftrightarrow12x^2-4x+9x-3=0\)
\(\Leftrightarrow4x\left(3x-1\right)+3\left(3x-1\right)\)
\(\Leftrightarrow\left(4x+3\right)\left(3x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}4x+3=0\\3x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}4x=-3\\3x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-3}{4}\\x=\dfrac{1}{3}\end{matrix}\right.\)
Vậy tập nghiệm phương trình là S = \(\left\{\dfrac{-3}{4};\dfrac{1}{3}\right\}\)
\(3x^4+4x^3-3x^2-2x+1=0\)
\(\Leftrightarrow3x^4+x^3-x^2+3x^3+x^2-x-3x^2-x+1=0\)
\(\Leftrightarrow x^2\left(3x^2+x-1\right)+x\left(3x^2+x-1\right)-\left(3x^2+x-1\right)=0\)
\(\Leftrightarrow\left(x^2+x-1\right)\left(3x^2+x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x^2+x-1=0\left(1\right)\\3x^2+x-1=0\left(2\right)\end{cases}}\)
\(\Leftrightarrow x_{1,2}=\frac{-1\pm\sqrt{5}}{2}\left(tm\right)\)
\(x_{1,2}=\frac{-1\pm\sqrt{13}}{6}\left(tm\right)\)
\(\left(3x-4\right)\left(2x+1\right)\left(5x-2\right)=0\)
\(\Rightarrow\hept{\begin{cases}3x-4=0\\2x+1=0\\5x-2=0\end{cases}\Rightarrow}\hept{\begin{cases}3x=4\\2x=-1\\5x=2\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{4}{3}\\x=-\frac{1}{2}\\x=\frac{2}{5}\end{cases}}}\)
Vậy ...
Ối ối nhầm rồi :(
\(\left(3x-4\right)\left(2x+1\right)\left(5x-2\right)=0\)
\(\Rightarrow\hept{\begin{cases}3x-4=0\\2x+1=0\\5x-2=0\end{cases}\Rightarrow\hept{\begin{cases}3x=4\Leftrightarrow x=\frac{4}{3}\\2x=-1\Leftrightarrow x=-\frac{1}{2}\\5x=2\Leftrightarrow x=\frac{2}{5}\end{cases}}}\)
Vậy ... là nghiệm của pt
=>x^2-2x-x+2+|x-1|=0
=>(x-1)(x-2)+|x-1|=0
TH!:x>=1 thi tinh nhu binh thuong
TH2x<1 tinh nhu the not
Chac vay
=> 24x3 - 4x2 - 4x - 6x2 + x + 1 = 0
=> 4x.(6x2 - x - 1) - (6x2 - x - 1) = 0
=> (6x2 - x - 1)(4x - 1) = 0
=> (6x2 - 3x + 2x - 1) (4x - 1) = 0
=> [ 3x.(2x - 1) + (2x - 1) ] . (4x - 1) = 0
=> (2x - 1)(3x + 1).(4x - 1) = 0
=> 2x - 1 = 0 => x = 1/2
hoặc 3x + 1 = 0 => x = -1/3
hoặc 4x - 1 = 0 => x = 1/4
Vậy x = 1/2 , x = -1/3 , x = 1/4