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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 2 questions will be solved this time.Among them
☆1 equations
☆1 calculations of prime factor
[ 1/2 Equation]
Work: Find the solution of equation 40000×（1+r）-1+40000×（1+r）-2+40000×（1+r）-3 = 0 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
[2/2 Digtal analysis]
Work：Break 560000 into prime factors.
Question type: Resolving prime factor
Solution:
560000=2*2*2*2*2*2*2*5*5*5*5*7
*Note: 560000 has 12 prime factors.
以下题目输入有误或有空行，请仔细检查，改正后再计算：
1==>错误类型：语法错误(1): +40000×（1+r）-4+40000（1+r）-5+500000×（1+r）-5
若问题没有得到解决，请参阅：《热点问题》
☆1 equations
☆1 calculations of prime factor
[ 1/2 Equation]
Work: Find the solution of equation 40000×（1+r）-1+40000×（1+r）-2+40000×（1+r）-3 = 0 .
Question type: Equation
Solution:Original question:
| 40000 | ( | 1 | + | r | ) | − | 1 | + | 40000 | ( | 1 | + | r | ) | − | 2 | + | 40000 | ( | 1 | + | r | ) | − | 3 | = | 0 |
| Left side of the equation = | 40000 | ( | 1 | + | r | ) | − | 6 | + | 40000 | ( | 1 | + | r | ) | + | 40000 | ( | 1 | + | r | ) |
| 40000 | ( | 1 | + | r | ) | − | 6 | + | 40000 | ( | 1 | + | r | ) | + | 40000 | ( | 1 | + | r | ) | = | 0 |
| Left side of the equation = | 40000 | × | 1 | + | 40000 | r | − | 6 | + | 40000 | ( | 1 | + | r | ) | + | 40000 | ( | 1 | + | r | ) |
| = | 40000 | + | 40000 | r | − | 6 | + | 40000 | ( | 1 | + | r | ) | + | 40000 | ( | 1 | + | r | ) |
| = | 39994 | + | 40000 | r | + | 40000 | ( | 1 | + | r | ) | + | 40000 | ( | 1 | + | r | ) |
| = | 39994 | + | 40000 | r | + | 40000 | × | 1 | + | 40000 | r | + | 40000 | ( | 1 | + | r | ) |
| = | 39994 | + | 40000 | r | + | 40000 | + | 40000 | r | + | 40000 | ( | 1 | + | r | ) |
| = | 79994 | + | 80000 | r | + | 40000 | ( | 1 | + | r | ) |
| = | 79994 | + | 80000 | r | + | 40000 | × | 1 | + | 40000 | r |
| = | 79994 | + | 80000 | r | + | 40000 | + | 40000 | r |
| = | 119994 | + | 120000 | r |
| 119994 | + | 120000 | r | = | 0 |
Transposition :
| 120000 | r | = | 0 | − | 119994 |
Combine the items on the right of the equation:
| 120000 | r | = | - | 119994 |
The coefficient of the unknown number is reduced to 1 :
| r | = | - | 119994 | ÷ | 120000 |
| = | - | 119994 | × | 1 120000 |
| = | - | 19999 | × | 1 20000 |
We obtained :
| r | = | - | 19999 20000 |
Convert the result to decimal form :
| r | = | - 0.99995 |
[2/2 Digtal analysis]
Work：Break 560000 into prime factors.
Question type: Resolving prime factor
Solution:
560000=2*2*2*2*2*2*2*5*5*5*5*7
*Note: 560000 has 12 prime factors.
以下题目输入有误或有空行，请仔细检查，改正后再计算：
1==>错误类型：语法错误(1): +40000×（1+r）-4+40000（1+r）-5+500000×（1+r）-5
若问题没有得到解决，请参阅：《热点问题》