Mathematics
         
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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 (100+x)(1000-2x) = 100×1000×(1+0.152) .
    Question type: Equation
    Solution:Original question:
     (100 + x )(10002 x ) = 100 × 1000(1 +
19
125
)
    Remove the bracket on the left of the equation:
     Left side of the equation = 100(10002 x ) + x (10002 x )
                                             = 100 × 1000100 × 2 x + x (10002 x )
                                             = 100000200 x + x (10002 x )
                                             = 100000200 x + x × 1000 x × 2 x
                                             = 100000 + 800 x x × 2 x
    The equation is transformed into :
     100000 + 800 x x × 2 x = 100 × 1000(1 +
19
125
)
     Right side of the equation = 100000(1 +
19
125
)
    The equation is transformed into :
     100000 + 800 x x × 2 x = 100000(1 +
19
125
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 100000 × 1 + 100000 ×
19
125
                                               = 100000 + 15200
                                               = 115200
    The equation is transformed into :
     100000 + 800 x x × 2 x = 115200

    
        x=20, it is the incremental root of the eqution.
    
    There are 1 solution(s).

    There is(are) 1 additive root(s) and 0 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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