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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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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 10*(1+7%)*(1+8%) = 10*(1+x)*(1+x) .
    Question type: Equation
    Solution:Original question:
     10(1 +
7
100
)(1 +
8
100
) = 10(1 + x )(1 + x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 10 × 1(1 +
8
100
) + 10 ×
7
100
(1 +
8
100
)
                                             = 10(1 +
8
100
) +
7
10
(1 +
8
100
)
                                             = 10 × 1 + 10 ×
8
100
+
7
10
(1 +
8
100
)
                                             = 10 +
4
5
+
7
10
(1 +
8
100
)
                                             =
54
5
+
7
10
(1 +
8
100
)
                                             =
54
5
+
7
10
× 1 +
7
10
×
8
100
                                             =
54
5
+
7
10
+
7
125
                                             =
2889
250
    The equation is transformed into :
     
2889
250
= 10(1 + x )(1 + x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 10 × 1(1 + x ) + 10 x (1 + x )
                                               = 10(1 + x ) + 10 x (1 + x )
                                               = 10 × 1 + 10 x + 10 x (1 + x )
                                               = 10 + 10 x + 10 x (1 + x )
                                               = 10 + 10 x + 10 x × 1 + 10 x x
                                               = 10 + 10 x + 10 x + 10 x x
                                               = 10 + 20 x + 10 x x
    The equation is transformed into :
     
2889
250
= 10 + 20 x + 10 x x

    The solution of the equation:
        x1≈-2.074988 , keep 6 decimal places
        x2≈0.074988 , 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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