a.   m=5/4

b. m=-5/4

c. m=0

d.  m= +-5/4

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8 tháng 12 2018

a.(2x - 5)(3x + 4) - x(6x - 5) = 4

⇔ 6x2 +8x -15x-20-6x2+5x=4

⇔-2x=24

⇔ x=-12

vậy x=12

b.(x - 2)2 + x(x - 2) = 0

⇔(x-2)(x-2+x)=0

⇔(x-2) (2x-2)=0

⇔ (x-2)2(x-2)=0

⇔(x-2)2.2=0

⇔(x-2)2=0

⇔x-2=0

⇔x=2

vậy x=2

c.(x3 + 4x2 - x - 4) : (x + 4) = 0

⇔[(x3+4x2)-(x+4)] :(x+4)=0

⇔ [x2(x+4)-(x+4)] :(x+4)=0

⇔ (x+4)(x2-1):(x+4)=0

⇔(x-1)(x+1)=0

\(\left[{}\begin{matrix}x+1=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=1\end{matrix}\right.\)

vậy \(\left[{}\begin{matrix}x=-1\\x=1\end{matrix}\right.\)

20 tháng 10 2018

a)\(x^2-3x=0\)

\(\Leftrightarrow x\left(x-3\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}x=0\\x-3=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0\\x=3\end{matrix}\right.\)

b)\(x^5-9x=0\)

\(\Leftrightarrow x\left(x^4-9\right)=0\)

\(\Leftrightarrow x\left(x^2+3\right)\left(x^2-3\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}x=0\\x^2+3=0\\x^2-3=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0\\x\in\varnothing\\x=\pm\sqrt{3}\end{matrix}\right.\)

c)\(\left(x^3-4x^2\right)-\left(x-4\right)=0\)

\(\Leftrightarrow x^2\left(x-4\right)-\left(x-4\right)=0\)

\(\Leftrightarrow\left(x^2-1\right)\left(x-4\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x-1\right)\left(x-4\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}x+1=0\\x-1=0\\x-4=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-1\\x=1\\x=4\end{matrix}\right.\)

d)\(\left(4x^2-25\right)^2-9\left(2x-5\right)^2=0\)

\(\Leftrightarrow\left(2x+5\right)^2\left(2x-5\right)^2-3\left(2x-5\right)^2=0\)

\(\Leftrightarrow\left(2x-5\right)^2\left(4x^2+10x+5-3\right)=0\)

\(\Leftrightarrow\left(2x-5\right)^2\left(4x^2+4x+2x+2\right)=0\)

\(\Leftrightarrow\left(2x-5\right)^2\left[4x\left(x+1\right)+2\left(x+1\right)\right]=0\)

\(\Leftrightarrow\left(2x-5\right)^2.2\left(2x+1\right)\left(x+1\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}2x-5=0\\2x+1=0\\x+1=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{5}{2}=2,5\\x=-\dfrac{1}{2}=-0,5\\x=-1\end{matrix}\right.\)

26 tháng 2 2020

A. m=1/5

9 tháng 8 2020

Bài 2 Tìm x biết

a) 3x -5 = 13

<=> 3x = 18

<=> x = 6

Vậy x = 6

b) 4x - 2 = 3x + 1

<=> 4x - 3x = 2 + 1

<=> x = 3

Vậy x = 3

c) 5(x - 3) - 2(x - 5) = 58

<=> 5x - 15 - 2x + 10 = 58

<=> 3x - 5 = 58

<=> 3x = 63

<=> x = 21

Vậy x = 21

d) mx + 5x = m2 - 25

<=> mx + 5x + 25 - m2 = 0

<=> x(5 + m) + (5 - m)(5 + m) = 0

<=> (5 + m)(x + 5 - m) = 0

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

<=> x + 10 = 0

<=> x = -10

Vậy x = -10

#Không chắc lắm :)