Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 20*3.14*0.6（x-20） = （2*3.14*0.147*（560-x））/0.1823 .
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 :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 20*3.14*0.6（x-20） = （2*3.14*0.147*（560-x））/0.1823 .
Question type: Equation
Solution:Original question:
| 20 | × | 157 50 | × | 3 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 942 25 | ( | x | − | 20 | ) |
942 25 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 942 25 | x | − | 942 25 | × | 20 |
| = | 942 25 | x | − | 3768 5 |
942 25 | x | − | 3768 5 | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| Right side of the equation = | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | × | 10000 1823 |
| = | 46158 9115 | ( | 560 | − | x | ) |
| = | 46158 9115 | × | 560 | − | 46158 9115 | x |
| = | 5169696 1823 | − | 46158 9115 | x |
942 25 | x | − | 3768 5 | = | 5169696 1823 | − | 46158 9115 | x |
Transposition :
942 25 | x | + | 46158 9115 | x | = | 5169696 1823 | + | 3768 5 |
Combine the items on the left of the equation:
1948056 45575 | x | = | 5169696 1823 | + | 3768 5 |
Combine the items on the right of the equation:
1948056 45575 | x | = | 32717544 9115 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 32717544 9115 | ÷ | 1948056 45575 |
| = | 32717544 9115 | × | 45575 1948056 |
| = | 8683 1823 | × | 9115 517 |
We obtained :
| x | = | 79145545 942491 |
Convert the result to decimal form :
| x | = | 83.974855 |