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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 2.74（1+x） = 74.3(x-0.15) .
Question type: Equation
Solution:Original question:
137 50 | ( | 1 | + | x | ) | = | 743 10 | ( | x | − | 3 20 | ) |
| Left side of the equation = | 137 50 | × | 1 | + | 137 50 | x |
| = | 137 50 | + | 137 50 | x |
137 50 | + | 137 50 | x | = | 743 10 | ( | x | − | 3 20 | ) |
| Right side of the equation = | 743 10 | x | − | 743 10 | × | 3 20 |
| = | 743 10 | x | − | 2229 200 |
137 50 | + | 137 50 | x | = | 743 10 | x | − | 2229 200 |
Transposition :
137 50 | x | − | 743 10 | x | = | - | 2229 200 | − | 137 50 |
Combine the items on the left of the equation:
| - | 1789 25 | x | = | - | 2229 200 | − | 137 50 |
Combine the items on the right of the equation:
| - | 1789 25 | x | = | - | 2777 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2777 200 | = | 1789 25 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
1789 25 | x | = | 2777 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2777 200 | ÷ | 1789 25 |
| = | 2777 200 | × | 25 1789 |
| = | 2777 8 | × | 1 1789 |
We obtained :
| x | = | 2777 14312 |
Convert the result to decimal form :
| x | = | 0.194033 |