D

D

D. 109 x (7 + 3)

Từ đề bài , ta có :

(-x).x = (-109).109

-x² = -109²

=> x² = 109

=> x = {109 ; -109}

MÀ x < 0

=> x = -109

109x(200-x)=11881

( 200-x)      = 11881:109

200-x         =109

x                = 200 - 109 

x                 = 91

chúc bạn học tốt

\(\left(\frac{x+14}{200}+1\right)+\left(\frac{x+27}{187}+1\right)+\left(\frac{x+105}{109}+1\right)=\left(\frac{x+200}{14}+1\right)\)

\(+\left(\frac{x+187}{27}+1\right)+\left(\frac{x+109}{105}+1\right)\)

\(\Rightarrow\frac{x+214}{200}+\frac{x+214}{187}+\frac{x+214}{109}-\frac{x+214}{14}-\frac{x+214}{27}-\frac{x+214}{105}=0\)

\(\Rightarrow\left(x+214\right)\left(\frac{1}{200}+\frac{1}{187}+\frac{1}{109}-\frac{1}{14}-\frac{1}{27}-\frac{1}{105}\right)=0\)

Mà \(\frac{1}{200}+\frac{1}{187}+\frac{1}{109}-\frac{1}{14}-\frac{1}{27}-\frac{1}{105}\ne0\)

\(\Rightarrow x+214=0\)

\(\Rightarrow x=-214\)

Vậy x = -214

x = -214

a)5-(13-3x)=109-(32+109)

   5-(13-3x)=-32

       13-3x  =37

            3x  =-24

            3x  =-6

a)5-(13-3x)=109-(32+109)

   5-13+3x  =109-32-109

         -8+3x=-32

              3x=-32-(-8)

              3x=-24

                x=-24:3

                x=-8

b)|3x-6|+(x-2²)=0

   (3x-6)+(x-2²)=0

        3x-6+x-2²=0

                3x+x=0+6+2²

                    4x=10

                      x=\(\dfrac{5}{2}\)

c)/7-2x/=-13-5.(-8)

   |7-2x|=27

⇒7-2x=27 hoặc 7-2x=-27

        x=-10 hoặc x=-17

\(a.\)

\(\Leftrightarrow x-5+x-7=-12.\)

\(\Leftrightarrow x=-12+-12\)

\(\Leftrightarrow x=-24\)

\(b.\)

\(\Leftrightarrow3x+2x=-109+44\)

\(\Leftrightarrow5x=-65\)

\(\Rightarrow x=-13\)

\(c.\)

\(\Leftrightarrow2x-10-15+5x=-109\)

\(\Leftrightarrow2x-5x=-109+15+10\)

\(\Leftrightarrow3x=-84\)

\(\Rightarrow x=-28\)

\(d.\)

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d) \(\left(x-3\right)\left(x+5\right)< 0\)

\(\Leftrightarrow\orbr{\begin{cases}x-3< 0\\x+5< 0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x< 3\\x< -5\end{cases}}\)

\(\Leftrightarrow\frac{x+14}{200}+\frac{x+27}{187}+\frac{x+105}{109}-\frac{x+200}{14}-\frac{x+187}{27}-\frac{x+109}{105}=0\)

\(\Leftrightarrow\left(\frac{x+14}{200}+1\right)+\left(\frac{x+27}{187}+1\right)+\left(\frac{x+105}{109}+1\right)-\left(\frac{x+200}{14}+1\right)-\left(\frac{x+187}{27}+1\right)-\left(\frac{x+109}{105}+1\right)=0\)\(\Leftrightarrow\frac{x+214}{200}+\frac{x+214}{187}+\frac{x+214}{109}-\frac{x+214}{14}-\frac{x+214}{27}-\frac{x+214}{105}=0\)

\(\Leftrightarrow\left(x+214\right)\left(\frac{1}{200}+\frac{1}{187}+\frac{1}{109}-\frac{1}{14}-\frac{1}{27}-\frac{1}{105}\right)=0\)

Mà \(\frac{1}{200}+\frac{1}{187}+\frac{1}{109}< \frac{1}{14}+\frac{1}{27}+\frac{1}{105}\Rightarrow\frac{1}{200}+\frac{1}{187}+\frac{1}{109}-\frac{1}{14}-\frac{1}{27}-\frac{1}{105}\ne0\)

\(\Rightarrow x+214=0\)

\(\Rightarrow x=-214\)

Vậy x=-214

\(\frac{x+14}{200}+\frac{x+27}{187}+\frac{x+105}{109}=\frac{x+200}{14}+\frac{x+187}{27}+\frac{x+109}{105}\\\Leftrightarrow \frac{x+14}{200}+1+\frac{x+27}{187}+1+\frac{x+105}{109}+1=\frac{x+200}{14}+1+\frac{x+187}{27}+1+\frac{x+109}{105}+1\\\Leftrightarrow \frac{x+214}{200}+\frac{x+214}{187}+\frac{x+214}{109}-\frac{x+214}{14}-\frac{x+214}{27}-\frac{x+214}{105}=0\\\Leftrightarrow \left(x+214\right)\left(\frac{1}{200}+\frac{1}{187}+\frac{1}{109}-\frac{1}{14}-\frac{1}{27}-\frac{1}{105}\right)=0\)

\(\Leftrightarrow x+214=0\left(vi\frac{1}{200}+\frac{1}{187}+\frac{1}{109}-\frac{1}{14}-\frac{1}{27}-\frac{1}{105}\ne0\right)\\\Leftrightarrow x=-214 \)

Vậy tập nghiệp của phương trình trên là \(S=\left\{-214\right\}\)

\(x\) + \(\dfrac{9}{10}\) = \(\dfrac{16}{10}\)

\(x\)           = \(\dfrac{16}{10}\) - \(\dfrac{9}{10}\)

\(x\)           = \(\dfrac{7}{10}\)

\(x\)    =0,7

109 . x + 137 . x = 75030

x . ( 109 + 137 ) = 75030

x . 246 = 75030

x = 75030 : 246

x = 305