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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 180.9*7.24*x*x+4*(x/(760+x)*203/2)*x/2-4*(760/(760+x)*203/2)*760/2 = 0 .
    Question type: Equation
    Solution:Original question:
     
1809
10
×
181
25
x x + 4( x ÷ (760 + x ) × 203 ÷ 2) x ÷ 24(760 ÷ (760 + x ) × 203 ÷ 2) × 760 ÷ 2 = 0
    Remove a bracket on the left of the equation::
     
1809
10
×
181
25
x x + 4 x ÷ (760 + x ) × 203 ÷ 2 × x ÷ 24 = 0
    The equation is reduced to :
     
327429
250
x x + 203 x ÷ (760 + x ) × x 1520(760 ÷ (760 + x ) × 203 ÷ 2) = 0
     Multiply both sides of the equation by:(760 + x )
     
327429
250
x x (760 + x ) + 203 x x 1520(760 ÷ (760 + x ) × 203 ÷ 2)(760 + x ) = 0
    Remove a bracket on the left of the equation:
     
327429
250
x x × 760 +
327429
250
x x x + 203 x x 1520 = 0
    The equation is reduced to :
     
24884604
25
x x +
327429
250
x x x + 203 x x 1520(760 ÷ (760 + x ) × 203 ÷ 2) = 0
    Remove a bracket on the left of the equation:
     
24884604
25
x x +
327429
250
x x x + 203 x x 1520 × 760 = 0
    The equation is reduced to :
     
24884604
25
x x +
327429
250
x x x + 203 x x 117252800 ÷ (760 + x ) = 0
     Multiply both sides of the equation by:(760 + x )
     
24884604
25
x x (760 + x ) +
327429
250
x x x (760 + x ) + 203 x x = 0
    Remove a bracket on the left of the equation:
     
24884604
25
x x × 760 +
24884604
25
x x x +
327429
250
x x x = 0

    The solution of the equation:
        x1≈-10.931185 , keep 6 decimal places
        x2≈10.776190 , 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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