\(\left(8x-6\right)\left(x-5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

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8x -16(x-5)=0

8x-16x+80=0

8x - 16x=0-80

x.(8-16)=-80

x.(-8)=-80

x=-80:(-8)

x=10

Vậy x=10

8x - 16x + 80 = 0

-8x = -80 

x = 10

\(a,\Leftrightarrow\dfrac{3x^3+6x^2-3x-5x^2-10x+5}{x^2+2x-1}=10\\ \Leftrightarrow\dfrac{3x\left(x^2+2x-1\right)-5\left(x^2+2x-1\right)}{x^2+2x-1}=10\\ \Leftrightarrow3x-5=10\Leftrightarrow3x=15\Leftrightarrow x=5\\ b,\Leftrightarrow\left(x^4+2x^2-4x^2-8\right):\left(x-2\right)=0\\ \Leftrightarrow\left[\left(x^2-4\right)\left(x^2+2\right)\right]:\left(x-2\right)=0\\ \Leftrightarrow\left[\left(x-2\right)\left(x+2\right)\left(x^2+2\right)\right]:\left(x-2\right)=0\\ \Leftrightarrow\left(x+2\right)\left(x^2+2\right)=0\Leftrightarrow x=-2\left(x^2+2>0\right)\\ c,\Leftrightarrow\dfrac{x\left(x-4\right)}{\left(x-4\right)^2}=0\Leftrightarrow\dfrac{x}{x-4}=0\Leftrightarrow x=0\)

b: \(\Leftrightarrow x^4-4x^2+2x^2-8=0\)

hay x=-2

\(\left(8x-16\right)\left(x-4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=4\end{matrix}\right.\)

Vậy \(x\in\left\{2;4\right\}\) là nghiệm của phương trình.

\(\left(8x-16\right)\left(x-4\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=4\end{matrix}\right.\)

(8x-16)(x-5)=0

=>8x-16=0 hoặc x-5=0

=>x=2 hoặc x=5.

(8x-16)(x-5)=0

=>8x-16=0 hoặc x-5=0

=>x=2 hoặc x=5.

Chúc bạn học tốt nhé

\(\left(8x-16\right)\left(x-5\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}8x=16\\x=5\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

`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

\(\Rightarrow\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

(8x - 16)(x - 5) = 0

<=> 8(x - 2)(x - 5) = 0

<=> \(\left[{}\begin{matrix}x-2=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

\(\left(8x-16\right)\left(x-5\right)=0\\ \Leftrightarrow8\left(x-2\right)\left(x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-2=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

(8\(x\) - 16).(\(x\) - 5) = 0

\(\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\)

 \(\left[{}\begin{matrix}8x=16\\x-5=0\end{matrix}\right.\)

  \(\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)

Vậy \(x\) \(\in\){2; 5}