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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 2*118*(1000-x) = 0.3*5.67*(x*x*x*x-873*873*873*873) .
    Question type: Equation
    Solution:Original question:
     2 × 118(1000 x ) =
3
10
×
567
100
( x x x x 873 × 873 × 873 × 873)
     Left side of the equation = 236(1000 x )
    The equation is transformed into :
     236(1000 x ) =
3
10
×
567
100
( x x x x 873 × 873 × 873 × 873)
    Remove the bracket on the left of the equation:
     Left side of the equation = 236 × 1000236 x
                                             = 236000236 x
    The equation is transformed into :
     236000236 x =
3
10
×
567
100
( x x x x 873 × 873 × 873 × 873)
     Right side of the equation =
1701
1000
( x x x x 873 × 873 × 873 × 873)
    The equation is transformed into :
     236000236 x =
1701
1000
( x x x x 873 × 873 × 873 × 873)
    Remove the bracket on the right of the equation:
     Right side of the equation =
1701
1000
x x x x
1701
1000
× 873 × 873 × 873 × 873

    After the equation is converted into a general formula, it is converted into:
    ( x + 873 )( x - 873 )=0
    From
        x + 873 = 0
        x - 873 = 0

    it is concluded that::
        x1=-873, it is the incremental root of the eqution.
        x2=873, it is the incremental root of the eqution.
    
    There are 2 solution(s).

    There is(are) 2 additive root(s) and 0 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


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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