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    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1.125*{0.25x/(0.25x+100)} = 1.7x/(x+100) .
    Question type: Equation
    Solution:Original question:
     
9
8
(
1
4
x ÷ (
1
4
x + 100)) =
17
10
x ÷ ( x + 100)
     Multiply both sides of the equation by:( x + 100)
     
9
8
(
1
4
x ÷ (
1
4
x + 100))( x + 100) =
17
10
x
    Remove a bracket on the left of the equation::
     
9
8
×
1
4
x ÷ (
1
4
x + 100) × ( x + 100) =
17
10
x
    The equation is reduced to :
     
9
32
x ÷ (
1
4
x + 100) × ( x + 100) =
17
10
x
     Multiply both sides of the equation by:(
1
4
x + 100)
     
9
32
x ( x + 100) =
17
10
x (
1
4
x + 100)
    Remove a bracket on the left of the equation:
     
9
32
x x +
9
32
x × 100 =
17
10
x (
1
4
x + 100)
    Remove a bracket on the right of the equation::
     
9
32
x x +
9
32
x × 100 =
17
10
x ×
1
4
x +
17
10
x × 100
    The equation is reduced to :
     
9
32
x x +
225
8
x =
17
40
x x + 170 x

    the solutions is:
        x1=0
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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