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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 0.16*(18+x)*(18+x)/((13+x)*(13+x)) = 1.25 .
    Question type: Equation
    Solution:Original question:
     
4
25
(18 + x )(18 + x ) ÷ ((13 + x )(13 + x )) =
5
4
     Multiply both sides of the equation by:((13 + x )(13 + x ))
     
4
25
(18 + x )(18 + x ) =
5
4
((13 + x )(13 + x ))
    Remove a bracket on the left of the equation::
     
4
25
× 18(18 + x ) +
4
25
x (18 + x ) =
5
4
((13 + x )(13 + x ))
    Remove a bracket on the right of the equation::
     
4
25
× 18(18 + x ) +
4
25
x (18 + x ) =
5
4
(13 + x )(13 + x )
    The equation is reduced to :
     
72
25
(18 + x ) +
4
25
x (18 + x ) =
5
4
(13 + x )(13 + x )
    Remove a bracket on the left of the equation:
     
72
25
× 18 +
72
25
x +
4
25
x (18 + x ) =
5
4
(13 + x )(13 + x )
    Remove a bracket on the right of the equation::
     
72
25
× 18 +
72
25
x +
4
25
x (18 + x ) =
5
4
× 13(13 + x ) +
5
4
x (13 + x )
    The equation is reduced to :
     
1296
25
+
72
25
x +
4
25
x (18 + x ) =
65
4
(13 + x ) +
5
4
x (13 + x )
    Remove a bracket on the left of the equation:
     
1296
25
+
72
25
x +
4
25
x × 18 +
4
25
x x =
65
4
(13 + x ) +
5
4
x (13 + x )
    Remove a bracket on the right of the equation::
     
1296
25
+
72
25
x +
4
25
x × 18 +
4
25
x x =
65
4
× 13 +
65
4
x +
5
4
x (13 + x )
    The equation is reduced to :
     
1296
25
+
72
25
x +
72
25
x +
4
25
x x =
845
4
+
65
4
x +
5
4
x (13 + x )
    The equation is reduced to :
     
1296
25
+
144
25
x +
4
25
x x =
845
4
+
65
4
x +
5
4
x (13 + x )
    Remove a bracket on the right of the equation::
     
1296
25
+
144
25
x +
4
25
x x =
845
4
+
65
4
x +
5
4
x × 13 +
5
4
x x
    The equation is reduced to :
     
1296
25
+
144
25
x +
4
25
x x =
845
4
+
65
4
x +
65
4
x +
5
4
x x
    The equation is reduced to :
     
1296
25
+
144
25
x +
4
25
x x =
845
4
+
65
2
x +
5
4
x x

    The solution of the equation:
        x1≈-14.317494 , keep 6 decimal places
        x2≈-10.214617 , 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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