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    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 60+(17+9x)(0.5+x)/(1+x) = 93.8 .
    Question type: Equation
    Solution:Original question:
     60 + (17 + 9 x )(
1
2
+ x ) ÷ (1 + x ) =
469
5
     Multiply both sides of the equation by:(1 + x )
     60(1 + x ) + (17 + 9 x )(
1
2
+ x ) =
469
5
(1 + x )
    Remove a bracket on the left of the equation::
     60 × 1 + 60 x + (17 + 9 x )(
1
2
+ x ) =
469
5
(1 + x )
    Remove a bracket on the right of the equation::
     60 × 1 + 60 x + (17 + 9 x )(
1
2
+ x ) =
469
5
× 1 +
469
5
x
    The equation is reduced to :
     60 + 60 x + (17 + 9 x )(
1
2
+ x ) =
469
5
+
469
5
x
    Remove a bracket on the left of the equation:
     60 + 60 x + 17(
1
2
+ x ) + 9 x (
1
2
+ x ) =
469
5
+
469
5
x
    Remove a bracket on the left of the equation:
     60 + 60 x + 17 ×
1
2
+ 17 x + 9 x (
1
2
+ x ) =
469
5
+
469
5
x
    The equation is reduced to :
     60 + 60 x +
17
2
+ 17 x + 9 x (
1
2
+ x ) =
469
5
+
469
5
x
    The equation is reduced to :
     
137
2
+ 77 x + 9 x (
1
2
+ x ) =
469
5
+
469
5
x
    Remove a bracket on the left of the equation:
     
137
2
+ 77 x + 9 x ×
1
2
+ 9 x x =
469
5
+
469
5
x
    The equation is reduced to :
     
137
2
+ 77 x +
9
2
x + 9 x x =
469
5
+
469
5
x
    The equation is reduced to :
     
137
2
+
163
2
x + 9 x x =
469
5
+
469
5
x

    The solution of the equation:
        x1≈-1.127207 , keep 6 decimal places
        x2≈2.493873 , 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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