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Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    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 2/x = {2/(2-x)}+5 .
    Question type: Equation
    Solution:Original question:
     2 ÷ x = (2 ÷ (2 − x )) + 5
     Multiply both sides of the equation by: x
     2 = (2 ÷ (2 − x )) x + 5 x
    Remove a bracket on the right of the equation::
     2 = 2 ÷ (2 − x ) × x + 5 x
     Multiply both sides of the equation by:(2 − x )
     2(2 − x ) = 2 x + 5 x (2 − x )
    Remove a bracket on the left of the equation:
     2 × 2 − 2 x = 2 x + 5 x (2 − x )
    Remove a bracket on the right of the equation::
     2 × 2 − 2 x = 2 x + 5 x × 2 − 5 x x
    The equation is reduced to :
     4 − 2 x = 2 x + 10 x − 5 x x
    The equation is reduced to :
     4 − 2 x = 12 x − 5 x x

    The solution of the equation:
        x1≈0.322967 , keep 6 decimal places
        x2≈2.477033 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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