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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 44/(x+1.25)+44/(1+x)*2 = 100 .
    Question type: Equation
    Solution:Original question:
     44 ÷ ( x +
5
4
) + 44 ÷ (1 + x ) × 2 = 100
     Multiply both sides of the equation by:( x +
5
4
)
     44 + 44 ÷ (1 + x ) × 2( x +
5
4
) = 100( x +
5
4
)
    Remove a bracket on the left of the equation::
     44 + 44 ÷ (1 + x ) × 2 x + 44 ÷ (1 + x ) × 2 ×
5
4
= 100( x +
5
4
)
    Remove a bracket on the right of the equation::
     44 + 44 ÷ (1 + x ) × 2 x + 44 ÷ (1 + x ) × 2 ×
5
4
= 100 x + 100 ×
5
4
    The equation is reduced to :
     44 + 88 ÷ (1 + x ) × x + 110 ÷ (1 + x ) = 100 x + 125
     Multiply both sides of the equation by:(1 + x )
     44(1 + x ) + 88 x + 110 = 100 x (1 + x ) + 125(1 + x )
    Remove a bracket on the left of the equation:
     44 × 1 + 44 x + 88 x + 110 = 100 x (1 + x ) + 125(1 + x )
    Remove a bracket on the right of the equation::
     44 × 1 + 44 x + 88 x + 110 = 100 x × 1 + 100 x x + 125(1 + x )
    The equation is reduced to :
     44 + 44 x + 88 x + 110 = 100 x + 100 x x + 125(1 + x )
    The equation is reduced to :
     154 + 132 x = 100 x + 100 x x + 125(1 + x )
    Remove a bracket on the right of the equation::
     154 + 132 x = 100 x + 100 x x + 125 × 1 + 125 x
    The equation is reduced to :
     154 + 132 x = 100 x + 100 x x + 125 + 125 x
    The equation is reduced to :
     154 + 132 x = 225 x + 100 x x + 125

    The solution of the equation:
        x1≈-1.176495 , keep 6 decimal places
        x2≈0.246495 , 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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