Question

3(x+2)-5(x-1)=-x+10

-4(2x-1)-3(x+2)=-20

-2(3x+2)-2(4x-1)=26

(x+2)2=4

(x-3)2=25

-3(x+2)=0

4(x-1)=0

Answer 1

3 ( x + 2 ) - 5 (x - 1 ) = - x + 10

=> 3x + 6 - 5x + 5 = - x + 10

=> 3x - 5x + x = 10 - 5 - 6

=> - x = -1

=> x = 1

- 4 ( 2x - 1 ) - 3 ( x + 2 ) = - 20

=> - 8x + 4 - 3x - 6 = - 20

=> - 8x - 3x = -20 - 4 + 6 

=> - 11x = - 18

=> x = \(\frac{18}{11}\)

- 2 ( 3x + 2 ) - 2 ( 4x - 1 ) = 26

=>  - 6x - 4 - 8x + 2 = 26

=> - 6x - 8x = 26 - 2 + 4

=> - 14x = 28

=> x = -2

\(\left(x+2\right)^2=4\)

=> \(\orbr{\begin{cases}x+2=2\\x+2=-2\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=-4\end{cases}}}\)

\(\left(x-3\right)^2=25\)

=> \(\orbr{\begin{cases}x-3=5\\x-3=-5\end{cases}\Rightarrow\orbr{\begin{cases}x=8\\x=-2\end{cases}}}\)

- 3 ( x + 2 ) = 0

=> x + 2 = 0 

=> x = -2

4 ( x - 1 ) = 0

=> x - 1 = 0

=> x = 1

Answer 2

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