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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 (25+2x)(25+2x)/(25-x)/(25-x) = 0.012 .
    Question type: Equation
    Solution:Original question:
     (25 + 2 x )(25 + 2 x ) ÷ (25 x ) ÷ (25 x ) =
3
250
     Multiply both sides of the equation by:(25 x )
     (25 + 2 x )(25 + 2 x ) ÷ (25 x ) =
3
250
(25 x )
    Remove a bracket on the left of the equation::
     25(25 + 2 x ) ÷ (25 x ) + 2 x (25 + 2 x ) ÷ (25 x ) =
3
250
(25 x )
    Remove a bracket on the right of the equation::
     25(25 + 2 x ) ÷ (25 x ) + 2 x (25 + 2 x ) ÷ (25 x ) =
3
250
× 25
3
250
x
    The equation is reduced to :
     25(25 + 2 x ) ÷ (25 x ) + 2 x (25 + 2 x ) ÷ (25 x ) =
3
10
3
250
x
     Multiply both sides of the equation by:(25 x )
     25(25 + 2 x ) + 2 x (25 + 2 x ) =
3
10
(25 x )
3
250
x (25 x )
    Remove a bracket on the left of the equation:
     25 × 25 + 25 × 2 x + 2 x (25 + 2 x ) =
3
10
(25 x )
3
250
x (25 x )
    Remove a bracket on the right of the equation::
     25 × 25 + 25 × 2 x + 2 x (25 + 2 x ) =
3
10
× 25
3
10
x
3
250
x (25 x )
    The equation is reduced to :
     625 + 50 x + 2 x (25 + 2 x ) =
15
2
3
10
x
3
250
x (25 x )
    Remove a bracket on the left of the equation:
     625 + 50 x + 2 x × 25 + 2 x × 2 x =
15
2
3
10
x
3
250
x (25 x )
    Remove a bracket on the right of the equation::
     625 + 50 x + 2 x × 25 + 2 x × 2 x =
15
2
3
10
x
3
250
x × 25 +
3
250
x x
    The equation is reduced to :
     625 + 50 x + 50 x + 4 x x =
15
2
3
10
x
3
10
x +
3
250
x x
    The equation is reduced to :
     625 + 100 x + 4 x x =
15
2
3
5
x +
3
250
x x

    The solution of the equation:
        x1≈-14.672979 , keep 6 decimal places
        x2≈-10.552699 , 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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