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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 6.965+(7.0451-6.965)*(x-260)/20+6.3417+(6.4443-6.3417)*(x-260)/20 = 13.4464 .
Question type: Equation
Solution:Original question:
1393 200 | + | ( | 70451 10000 | − | 1393 200 | ) | ( | x | − | 260 | ) | ÷ | 20 | + | 63417 10000 | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | ÷ | 20 | = | 8404 625 |
| Left side of the equation = | 133067 10000 | + | ( | 70451 10000 | − | 1393 200 | ) | ( | x | − | 260 | ) | × | 1 20 | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
133067 10000 | + | ( | 70451 10000 | − | 1393 200 | ) | ( | x | − | 260 | ) | × | 1 20 | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 | = | 8404 625 |
| Left side of the equation = | 133067 10000 | + | 70451 10000 | ( | x | − | 260 | ) | × | 1 20 | − | 1393 200 | ( | x | − | 260 | ) | × | 1 20 | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | 133067 10000 | + | 70451 200000 | ( | x | − | 260 | ) | − | 1393 4000 | ( | x | − | 260 | ) | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | 133067 10000 | + | 70451 200000 | x | − | 70451 200000 | × | 260 | − | 1393 4000 | ( | x | − | 260 | ) | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | 133067 10000 | + | 70451 200000 | x | − | 915863 10000 | − | 1393 4000 | ( | x | − | 260 | ) | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | - | 195699 2500 | + | 70451 200000 | x | − | 1393 4000 | ( | x | − | 260 | ) | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | - | 195699 2500 | + | 70451 200000 | x | − | 1393 4000 | x | + | 1393 4000 | × | 260 | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | - | 195699 2500 | + | 70451 200000 | x | − | 1393 4000 | x | + | 18109 200 | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | 61327 5000 | + | 801 200000 | x | + | ( | 64443 10000 | − | 63417 10000 | ) | ( | x | − | 260 | ) | × | 1 20 |
| = | 61327 5000 | + | 801 200000 | x | + | 64443 10000 | ( | x | − | 260 | ) | × | 1 20 | − | 63417 10000 | ( | x | − | 260 | ) | × | 1 20 |
| = | 61327 5000 | + | 801 200000 | x | + | 64443 200000 | ( | x | − | 260 | ) | − | 63417 200000 | ( | x | − | 260 | ) |
| = | 61327 5000 | + | 801 200000 | x | + | 64443 200000 | x | − | 64443 200000 | × | 260 | − | 63417 200000 | ( | x | − | 260 | ) |
| = | 61327 5000 | + | 801 200000 | x | + | 64443 200000 | x | − | 837759 10000 | − | 63417 200000 | ( | x | − | 260 | ) |
| = | - | 143021 2000 | + | 16311 50000 | x | − | 63417 200000 | ( | x | − | 260 | ) |
| = | - | 143021 2000 | + | 16311 50000 | x | − | 63417 200000 | x | + | 63417 200000 | × | 260 |
| = | - | 143021 2000 | + | 16311 50000 | x | − | 63417 200000 | x | + | 824421 10000 |
| = | 27329 2500 | + | 1827 200000 | x |
27329 2500 | + | 1827 200000 | x | = | 8404 625 |
Transposition :
1827 200000 | x | = | 8404 625 | − | 27329 2500 |
Combine the items on the right of the equation:
1827 200000 | x | = | 6287 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6287 2500 | ÷ | 1827 200000 |
| = | 6287 2500 | × | 200000 1827 |
| = | 6287 | × | 80 1827 |
We obtained :
| x | = | 502960 1827 |
Convert the result to decimal form :
| x | = | 275.29283 |