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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 205.5/28*x+280/28*(x+15)+56/28(x+30) = 635 .
Question type: Equation
Solution:Original question:
411 2 | ÷ | 28 | × | x | + | 280 | ÷ | 28 | × | ( | x | + | 15 | ) | + | 56 | ÷ | 28 | × | ( | x | + | 30 | ) | = | 635 |
| Left side of the equation = | 411 56 | x | + | 10 | ( | x | + | 15 | ) | + | 2 | ( | x | + | 30 | ) |
411 56 | x | + | 10 | ( | x | + | 15 | ) | + | 2 | ( | x | + | 30 | ) | = | 635 |
| Left side of the equation = | 411 56 | x | + | 10 | x | + | 10 | × | 15 | + | 2 | ( | x | + | 30 | ) |
| = | 411 56 | x | + | 10 | x | + | 150 | + | 2 | ( | x | + | 30 | ) |
| = | 971 56 | x | + | 150 | + | 2 | ( | x | + | 30 | ) |
| = | 971 56 | x | + | 150 | + | 2 | x | + | 2 | × | 30 |
| = | 971 56 | x | + | 150 | + | 2 | x | + | 60 |
| = | 1083 56 | x | + | 210 |
1083 56 | x | + | 210 | = | 635 |
Transposition :
1083 56 | x | = | 635 | − | 210 |
Combine the items on the right of the equation:
1083 56 | x | = | 425 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 425 | ÷ | 1083 56 |
| = | 425 | × | 56 1083 |
We obtained :
| x | = | 23800 1083 |
Convert the result to decimal form :
| x | = | 21.975993 |