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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 280*3.2*5.2/(3.2+0.72x)/(5.2+0.72x) = 100 .
    Question type: Equation
    Solution:Original question:
     280 ×
16
5
×
26
5
÷ (
16
5
+
18
25
x ) ÷ (
26
5
+
18
25
x ) = 100
     Multiply both sides of the equation by:(
16
5
+
18
25
x )
     280 ×
16
5
×
26
5
÷ (
26
5
+
18
25
x ) = 100(
16
5
+
18
25
x )
    Remove a bracket on the right of the equation::
     280 ×
16
5
×
26
5
÷ (
26
5
+
18
25
x ) = 100 ×
16
5
+ 100 ×
18
25
x
    The equation is reduced to :
     
23296
5
÷ (
26
5
+
18
25
x ) = 320 + 72 x
     Multiply both sides of the equation by:(
26
5
+
18
25
x )
     
23296
5
= 320(
26
5
+
18
25
x ) + 72 x (
26
5
+
18
25
x )
    Remove a bracket on the right of the equation::
     
23296
5
= 320 ×
26
5
+ 320 ×
18
25
x + 72 x (
26
5
+
18
25
x )
    The equation is reduced to :
     
23296
5
= 1664 +
1152
5
x + 72 x (
26
5
+
18
25
x )
    Remove a bracket on the right of the equation::
     
23296
5
= 1664 +
1152
5
x + 72 x ×
26
5
+ 72 x ×
18
25
x
    The equation is reduced to :
     
23296
5
= 1664 +
1152
5
x +
1872
5
x +
1296
25
x x
    The equation is reduced to :
     
23296
5
= 1664 +
3024
5
x +
1296
25
x x

    The solution of the equation:
        x1≈-15.414855 , keep 6 decimal places
        x2≈3.748188 , 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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