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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 0.81*(x+0.4)*(x+0.4) = 144x .
    Question type: Equation
    Solution:Original question:
     
81
100
( x +
2
5
)( x +
2
5
) = 144 x
    Remove the bracket on the left of the equation:
     Left side of the equation =
81
100
x ( x +
2
5
) +
81
100
×
2
5
( x +
2
5
)
                                             =
81
100
x ( x +
2
5
) +
81
250
( x +
2
5
)
                                             =
81
100
x x +
81
100
x ×
2
5
+
81
250
( x +
2
5
)
                                             =
81
100
x x +
81
250
x +
81
250
( x +
2
5
)
                                             =
81
100
x x +
81
250
x +
81
250
x +
81
250
×
2
5
                                             =
81
100
x x +
81
250
x +
81
250
x +
81
625
                                             =
81
100
x x +
81
125
x +
81
625
    The equation is transformed into :
     
81
100
x x +
81
125
x +
81
625
= 144 x

    After the equation is converted into a general formula, there is a common factor:
    ( x - 0 )
    From
        x - 0 = 0

    it is concluded that::
        x1=0, it is the incremental root of the eqution.
    Solutions that cannot be obtained by factorization:
        x2≈176.976874 , keep 6 decimal places
    
    There are 2 solution(s).

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


解程的详细方法请参阅:《方程的解法》



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