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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 10000/(x+99*0.12)+6700/(x+99*0.12)+10000/(x+99*0.12)+10000/(x+99*0.16) = 250 .
    Question type: Equation
    Solution:Original question:
     10000 ÷ ( x + 99 ×
3
25
) + 6700 ÷ ( x + 99 ×
3
25
) + 10000 ÷ ( x + 99 ×
3
25
) + 10000 ÷ ( x + 99 ×
4
25
) = 250
     Multiply both sides of the equation by:( x + 99 ×
3
25
)
     10000 + 6700 + 10000 + 10000 ÷ ( x + 99 ×
4
25
) × ( x + 99 ×
3
25
) = 250( x + 99 ×
3
25
)
    Remove a bracket on the left of the equation::
     10000 + 6700 + 10000 + 10000 ÷ ( x + 99 ×
4
25
) × x + 10000 ÷ ( x + 99 ×
4
25
) × 99 ×
3
25
= 250( x + 99 ×
3
25
)
    Remove a bracket on the right of the equation::
     10000 + 6700 + 10000 + 10000 ÷ ( x + 99 ×
4
25
) × x + 10000 ÷ ( x + 99 ×
4
25
) × 99 ×
3
25
= 250 x + 250 × 99 ×
3
25
    The equation is reduced to :
     10000 + 6700 + 10000 + 10000 ÷ ( x + 99 ×
4
25
) × x + 118800 ÷ ( x + 99 ×
4
25
) = 250 x + 2970
    The equation is reduced to :
     26700 + 10000 ÷ ( x + 99 ×
4
25
) × x + 118800 ÷ ( x + 99 ×
4
25
) = 250 x + 2970
     Multiply both sides of the equation by:( x + 99 ×
4
25
)
     26700( x + 99 ×
4
25
) + 10000 x + 118800 = 250 x ( x + 99 ×
4
25
) + 2970( x + 99 ×
4
25
)
    Remove a bracket on the left of the equation:
     26700 x + 26700 × 99 ×
4
25
+ 10000 x + 118800 = 250 x ( x + 99 ×
4
25
) + 2970( x + 99 ×
4
25
)
    Remove a bracket on the right of the equation::
     26700 x + 26700 × 99 ×
4
25
+ 10000 x + 118800 = 250 x x + 250 x × 99 ×
4
25
+ 2970( x + 99 ×
4
25
)
    The equation is reduced to :
     26700 x + 422928 + 10000 x + 118800 = 250 x x + 3960 x + 2970( x + 99 ×
4
25
)
    The equation is reduced to :
     36700 x + 541728 = 250 x x + 3960 x + 2970( x + 99 ×
4
25
)
    Remove a bracket on the right of the equation::
     36700 x + 541728 = 250 x x + 3960 x + 2970 x + 2970 × 99 ×
4
25
    The equation is reduced to :
     36700 x + 541728 = 250 x x + 3960 x + 2970 x +
235224
5
    The equation is reduced to :
     36700 x + 541728 = 250 x x + 6930 x +
235224
5

    The solution of the equation:
        x1≈-14.781897 , keep 6 decimal places
        x2≈133.861897 , 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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