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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 900*9.8h+50000+75/359*(2-h)*20*900*2.04*2.04 = 101300 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 900*9.8h+50000+75/359*(2-h)*20*900*2.04*2.04 = 101300 .
Question type: Equation
Solution:Original question:
| 900 | × | 49 5 | h | + | 50000 | + | 75 | ÷ | 359 | × | ( | 2 | − | h | ) | × | 20 | × | 900 | × | 51 25 | × | 51 25 | = | 101300 |
| Left side of the equation = | 8820 | h | + | 50000 | + | 5618160 359 | ( | 2 | − | h | ) |
| 8820 | h | + | 50000 | + | 5618160 359 | ( | 2 | − | h | ) | = | 101300 |
| Left side of the equation = | 8820 | h | + | 50000 | + | 5618160 359 | × | 2 | − | 5618160 359 | h |
| = | 8820 | h | + | 50000 | + | 11236320 359 | − | 5618160 359 | h |
| = | - | 2451780 359 | h | + | 29186320 359 |
| - | 2451780 359 | h | + | 29186320 359 | = | 101300 |
Transposition :
| - | 2451780 359 | h | = | 101300 | − | 29186320 359 |
Combine the items on the right of the equation:
| - | 2451780 359 | h | = | 7180380 359 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 7180380 359 | = | 2451780 359 | h |
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 :
2451780 359 | h | = | - | 7180380 359 |
The coefficient of the unknown number is reduced to 1 :
| h | = | - | 7180380 359 | ÷ | 2451780 359 |
| = | - | 7180380 359 | × | 359 2451780 |
| = | - | 39891 359 | × | 359 13621 |
We obtained :
| h | = | - | 14320869 4889939 |
By reducing fraction, we can get:
| h | = | - | 39891 13621 |
Convert the result to decimal form :
| h | = | - 2.92864 |