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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 11.63*3.14*0.4(x-20) = (2*3.14*0.1185*(417.44-x))/0.28768 .
Question type: Equation
Solution:Original question:
1163 100 | × | 157 50 | × | 2 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 237 2000 | ( | 10436 25 | − | x | ) | ) | ÷ | 899 3125 |
| Left side of the equation = | 182591 12500 | ( | x | − | 20 | ) |
182591 12500 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 237 2000 | ( | 10436 25 | − | x | ) | ) | ÷ | 899 3125 |
| Left side of the equation = | 182591 12500 | x | − | 182591 12500 | × | 20 |
| = | 182591 12500 | x | − | 182591 625 |
182591 12500 | x | − | 182591 625 | = | ( | 2 | × | 157 50 | × | 237 2000 | ( | 10436 25 | − | x | ) | ) | ÷ | 899 3125 |
| Right side of the equation = | 2 | × | 157 50 | × | 237 2000 | ( | 10436 25 | − | x | ) | × | 3125 899 |
| = | 37209 14384 | ( | 10436 25 | − | x | ) |
| = | 37209 14384 | × | 10436 25 | − | 37209 14384 | x |
| = | 97078281 89900 | − | 37209 14384 | x |
182591 12500 | x | − | 182591 625 | = | 97078281 89900 | − | 37209 14384 | x |
Transposition :
182591 12500 | x | + | 37209 14384 | x | = | 97078281 89900 | + | 182591 625 |
Combine the items on the left of the equation:
772875361 44950000 | x | = | 97078281 89900 | + | 182591 625 |
x≈79.794348 , 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》