tìm x
4x^2 cộng 8x =0
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\(4x^2+4x-3=0\)
\(\left[\left(2x\right)^2+2.2x.1+1\right]-4=0\)
\(\left(2x+1\right)^2-2^2=0\)
\(\left(2x+1-2\right).\left(2x+1+2\right)=0\)
\(\left(2x-1\right).\left(2x+3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-1=0\\2x+3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=-\frac{3}{2}\end{cases}}}\)
Vậy \(\orbr{\begin{cases}x=\frac{1}{2}\\x=-\frac{3}{2}\end{cases}}\)
\(x^4-3x^3-x+3=0\)
\(x^3.\left(x-3\right)-\left(x-3\right)=0\)
\(\left(x-3\right).\left(x^3-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x^3-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=1\end{cases}}}\)
Vậy \(\orbr{\begin{cases}x=3\\x=1\end{cases}}\)
\(x^2.\left(x-1\right)-4x^2+8x-4=0\)
\(x^2.\left(x-1\right)-\left[\left(2x\right)^2-2.2x.2+2^2\right]=0\)
\(x^2.\left(x-1\right)-\left(2x-2\right)^2=0\)
\(x^2.\left(x-1\right)-4.\left(x-1\right)^2=0\)
\(\left(x-1\right).\left[x^2-4.\left(x-1\right)\right]=0\)
\(\left(x-1\right).\left[x^2-2.x.2+2^2\right]=0\)
\(\left(x-1\right).\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x-2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=2\end{cases}}}\)
Vậy \(\begin{cases}x=1\\x=2\end{cases}\)
Tham khảo nhé~
8x2+30x+7=0
8x2+16x+14x+7=0
8x(x+2) +7(x+2)=0
(8x+7)(x+2)=0
=>\(\orbr{\begin{cases}8x+7=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{7}{8}\\x=-2\end{cases}}}\)
\(P=\dfrac{-x^4+2x^3-2x+1}{4x^2-1}+\dfrac{8x^2-4x+2}{8x^3+1}\)
\(=\dfrac{\left(1-x^2\right)\left(1+x^2\right)+2x\left(x^2-1\right)}{4x^2-1}+\dfrac{2\left(4x^2-2x+1\right)}{\left(2x+1\right)\left(4x^2-2x+1\right)}\)
\(=\dfrac{\left(1-x^2\right)\left(1+x^2-2x\right)}{4x^2-1}+\dfrac{2}{2x+1}\)
\(=\dfrac{\left(1-x^2\right)\left(x^2-2x+1\right)+4x-2}{4x^2-1}\)
`a, x^2-10x+25=0`
`<=>x^2 -2.x.5+5^2=0`
`<=>(x-5)^2=0`
`<=>x-5=0`
`<=>x=5`
__
`x^2 -8x+16=0`
`<=> x^2 - 2.x.4+4^2=0`
`<=>(x-4)^2=0`
`<=>x-4=0`
`<=>x=4`
__
`x^2-49=0`
`<=>x^2 - 7^2=0`
`<=>(x-7)(x+7)=0`
`<=>x-7=0` hoặc `x+7=0`
`<=> x=7` hoặc `x=-7`
__
`4x^2-25=0`
`<=> (2x)^2 -5^2=0`
`<=>(2x-5)(2x+5)=0`
`<=>2x-5=0` hoặc `2x+5=0`
`<=> 2x=5` hoặc `2x=-5`
`<=>x=5/2` hoặc `x=-5/2`
a: =>(x-5)^2=0
=>x-5=0
=>x=5
b: =>(x-4)^2=0
=>x-4=0
=>x=4
c: =>(x-7)(x+7)=0
=>x-7=0 hoặc x+7=0
=>x=7 hoặc x=-7
d: =>(2x-5)(2x+5)=0
=>2x-5=0 hoặc 2x+5=0
=>x=5/2 hoặc x=-5/2
a: Ta có: \(\left(8x^2-4x\right):\left(-4x\right)-\left(x+2\right)=8\)
\(\Leftrightarrow-2x+1-x-2=8\)
\(\Leftrightarrow-3x=9\)
hay x=-3
b: Ta có: \(\left(2x^4-3x^3+x^2\right):\left(-\dfrac{1}{2}x^2\right)+4\left(x-1\right)^2=0\)
\(\Leftrightarrow-4x^2+6x-2+4x^2-8x+4=0\)
\(\Leftrightarrow-2x=-2\)
hay x=1
\(4x^2+8x=0\)
\(\Leftrightarrow4x\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}4x=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-2\end{matrix}\right.\)
a) \(4x^2+8x=0\)
\(\Rightarrow4x\left(x+8\right)=0\)
\(\Rightarrow4x=0\) hoặc \(x+8=0\)
\(TH1:4x=0\Rightarrow x=4:0\Rightarrow x=0\)
\(TH2:x+8=0\Rightarrow x=0-8\Rightarrow x=-8\)
Vậy nghiệm của đa thức \(4x^2+8x=0\) là: \(\left\{0;-8\right\}\)