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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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

[ 1/1 Equation]
    Work: Find the solution of equation (10000÷(104+x))+(20000÷(214+x))+(10000÷(164÷x)) = 150 .
    Question type: Equation
    Solution:Original question:
     (10000 ÷ (104 + x )) + (20000 ÷ (214 + x )) + (10000 ÷ (164 ÷ x )) = 150
    Remove a bracket on the left of the equation::
     10000 ÷ (104 + x ) + (20000 ÷ (214 + x )) + (10000 ÷ (164 ÷ x )) = 150
     Multiply both sides of the equation by:(104 + x )
     10000 + (20000 ÷ (214 + x ))(104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x ) = 150(104 + x )
    Remove a bracket on the left of the equation:
     10000 + 20000 ÷ (214 + x ) × (104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x ) = 150(104 + x )
    Remove a bracket on the right of the equation::
     10000 + 20000 ÷ (214 + x ) × (104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x ) = 150 × 104 + 150 x
    The equation is reduced to :
     10000 + 20000 ÷ (214 + x ) × (104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x ) = 15600 + 150 x
     Multiply both sides of the equation by:(214 + x )
     10000(214 + x ) + 20000(104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 15600(214 + x ) + 150 x (214 + x )
    Remove a bracket on the left of the equation:
     10000 × 214 + 10000 x + 20000(104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 15600(214 + x ) + 150 x (214 + x )
    Remove a bracket on the right of the equation::
     10000 × 214 + 10000 x + 20000(104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 15600 × 214 + 15600 x + 150 x (214 + x )
    The equation is reduced to :
     2140000 + 10000 x + 20000(104 + x ) + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 3338400 + 15600 x + 150 x (214 + x )
    Remove a bracket on the left of the equation:
     2140000 + 10000 x + 20000 × 104 + 20000 x + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 3338400 + 15600 x + 150 x (214 + x )
    Remove a bracket on the right of the equation::
     2140000 + 10000 x + 20000 × 104 + 20000 x + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 3338400 + 15600 x + 150 x × 214 + 150 x x
    The equation is reduced to :
     2140000 + 10000 x + 2080000 + 20000 x + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 3338400 + 15600 x + 32100 x + 150 x x
    The equation is reduced to :
     4220000 + 30000 x + (10000 ÷ (164 ÷ x ))(104 + x )(214 + x ) = 3338400 + 47700 x + 150 x x
    Remove a bracket on the left of the equation:
     4220000 + 30000 x + 10000 ÷ (164 ÷ x ) × (104 + x )(214 + x ) = 3338400 + 47700 x + 150 x x
     Multiply both sides of the equation by:(164 ÷ x )
     4220000(164 ÷ x ) + 30000 × 1(164 ÷ 1) + 10000(104 + x )(214 + x ) = 3338400(164 ÷ x ) + 47700 × 1(164 ÷ 1) + 150 × 1 x (164 ÷ 1)
    Remove a bracket on the left of the equation:
     4220000 × 164 ÷ x + 30000 × 1(164 ÷ 1) + 10000(104 + x )(214 + x ) = 3338400(164 ÷ x ) + 47700 × 1(164 ÷ 1) + 150 × 1 x (164 ÷ 1)
    Remove a bracket on the right of the equation::
     4220000 × 164 ÷ x + 30000 × 1(164 ÷ 1) + 10000(104 + x )(214 + x ) = 3338400 × 164 ÷ x + 47700 × 1(164 ÷ 1) + 150 × 1 x (164 ÷ 1)
    The equation is reduced to :
     692080000 ÷ x + 30000(164 ÷ 1) + 10000(104 + x )(214 + x ) = 547497600 ÷ x + 47700(164 ÷ 1) + 150 x (164 ÷ 1)
     Multiply both sides of the equation by: x
     692080000 + 30000(164 ÷ 1) x + 10000(104 + x )(214 + x ) x = 547497600 ÷ 1 × 1 + 47700(164 ÷ 1) x + 150 x (164 ÷ 1) x
    Remove a bracket on the left of the equation:
     692080000 + 30000 × 164 ÷ 1 × x + 10000(104 + x )(214 + x ) x = 547497600 ÷ 1 × 1 + 47700(164 ÷ 1) x + 150 x (164 ÷ 1) x
    Remove a bracket on the right of the equation::
     692080000 + 30000 × 164 ÷ 1 × x + 10000(104 + x )(214 + x ) x = 547497600 ÷ 1 × 1 + 47700 × 164 ÷ 1 × x + 150 x (164 ÷ 1) x

    The solution of the equation:
        x1≈-102.390768 , keep 6 decimal places
        x2≈-0.664549 , 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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