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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 7500/(a+74.88)+10000/(a+62.4) = 143 .
    Question type: Equation
    Solution:Original question:
     7500 ÷ ( a +
1872
25
) + 10000 ÷ ( a +
312
5
) = 143
     Multiply both sides of the equation by:( a +
1872
25
)
     7500 + 10000 ÷ ( a +
312
5
) × ( a +
1872
25
) = 143( a +
1872
25
)
    Remove a bracket on the left of the equation::
     7500 + 10000 ÷ ( a +
312
5
) × a + 10000 ÷ ( a +
312
5
) ×
1872
25
= 143( a +
1872
25
)
    Remove a bracket on the right of the equation::
     7500 + 10000 ÷ ( a +
312
5
) × a + 10000 ÷ ( a +
312
5
) ×
1872
25
= 143 a + 143 ×
1872
25
    The equation is reduced to :
     7500 + 10000 ÷ ( a +
312
5
) × a + 748800 ÷ ( a +
312
5
) = 143 a +
267696
25
     Multiply both sides of the equation by:( a +
312
5
)
     7500( a +
312
5
) + 10000 a + 748800 = 143 a ( a +
312
5
) +
267696
25
( a +
312
5
)
    Remove a bracket on the left of the equation:
     7500 a + 7500 ×
312
5
+ 10000 a + 748800 = 143 a ( a +
312
5
) +
267696
25
( a +
312
5
)
    Remove a bracket on the right of the equation::
     7500 a + 7500 ×
312
5
+ 10000 a + 748800 = 143 a a + 143 a ×
312
5
+
267696
25
( a +
312
5
)
    The equation is reduced to :
     7500 a + 468000 + 10000 a + 748800 = 143 a a +
44616
5
a +
267696
25
( a +
312
5
)
    The equation is reduced to :
     17500 a + 1216800 = 143 a a +
44616
5
a +
267696
25
( a +
312
5
)
    Remove a bracket on the right of the equation::
     17500 a + 1216800 = 143 a a +
44616
5
a +
267696
25
a +
267696
25
×
312
5
    The equation is reduced to :
     17500 a + 1216800 = 143 a a +
44616
5
a +
267696
25
a +
83521152
125
    The equation is reduced to :
     17500 a + 1216800 = 143 a a +
490776
25
a +
83521152
125

    The solution of the equation:
        a1≈-69.837879 , keep 6 decimal places
        a2≈54.935501 , 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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