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Linear equations in one unknown


An equation of the shape:  ax + b = 0, where  a and  b – the known numbers, x – an unknown value, is called a linear equation in one unknown. To solve this equation means to find the numerical value of  x , at which this equation becomes an identity.

If  a is not equal to zero ( a 0 ),  then a solution  ( root )  has the shape:

                        

                                                  

 

If  a = 0 , then the two cases are possible:

           

1.   b = 0,  then  0 · x + 0 = 0 Here  x  can be any number  ( check this ! ).

 

2.   b ≠ 0,  then  0 · x + b = 0There is no solution  ( check this also ).

 


                        expressions:  x2 + 2x = x22x +  x – 2 . Transfer all terms to the

                        left-hand side of the equation. After reducing all similar terms we’ll

                        receive: 3x + 2 = 0, hence  x = – 2 / 3 .

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