Mathematics
         
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    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-3)(x-1/5) = 0 .
    Question type: Equation
    Solution:Original question:
     ( x 3)( x 1 ÷ 5) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x 1 ÷ 5)3( x 1 ÷ 5)
                                             = x x x × 1 ÷ 53( x 1 ÷ 5)
                                             = x x x ×
1
5
3( x 1 ÷ 5)
                                             = x x
1
5
x 3 x + 3 × 1 ÷ 5
                                             = x x
1
5
x 3 x +
3
5
                                             = x x
16
5
x +
3
5
    The equation is transformed into :
      x x
16
5
x +
3
5
= 0

    After the equation is converted into a general formula, it is converted into:
    ( 5x - 1 )( x - 3 )=0
    From
        5x - 1 = 0
        x - 3 = 0

    it is concluded that::
        x1=
1
5
        x2=3
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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