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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: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (201.746792+a)*1.59*2 = (498.561088+a)*2.15 .
Question type: Equation
Solution:Original question:
| ( | 25218349 125000 | + | a | ) | × | 159 100 | × | 2 | = | ( | 7790017 15625 | + | a | ) | × | 43 20 |
| Left side of the equation = | ( | 25218349 125000 | + | a | ) | × | 159 50 |
| ( | 25218349 125000 | + | a | ) | × | 159 50 | = | ( | 7790017 15625 | + | a | ) | × | 43 20 |
| Left side of the equation = | 25218349 125000 | × | 159 50 | + | a | × | 159 50 |
| = | 4009717491 6250000 | + | a | × | 159 50 |
4009717491 6250000 | + | 159 50 | a | = | ( | 7790017 15625 | + | a | ) | × | 43 20 |
| Right side of the equation = | 7790017 15625 | × | 43 20 | + | a | × | 43 20 |
| = | 334970731 312500 | + | a | × | 43 20 |
4009717491 6250000 | + | 159 50 | a | = | 334970731 312500 | + | 43 20 | a |
Transposition :
159 50 | a | − | 43 20 | a | = | 334970731 312500 | − | 4009717491 6250000 |
Combine the items on the left of the equation:
103 100 | a | = | 334970731 312500 | − | 4009717491 6250000 |
a≈417.817030 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》