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 11.69*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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 11.69*3.14*0.6（x-20） = （2*3.14*0.147*（560-x））/0.1823 .
Question type: Equation
Solution:Original question:
1169 100 | × | 157 50 | × | 3 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 550599 25000 | ( | x | − | 20 | ) |
550599 25000 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 1823 10000 |
| Left side of the equation = | 550599 25000 | x | − | 550599 25000 | × | 20 |
| = | 550599 25000 | x | − | 550599 1250 |
550599 25000 | x | − | 550599 1250 | = | ( | 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 |
550599 25000 | x | − | 550599 1250 | = | 5169696 1823 | − | 46158 9115 | x |
Transposition :
550599 25000 | x | + | 46158 9115 | x | = | 5169696 1823 | + | 550599 1250 |
Combine the items on the left of the equation:
1234531977 45575000 | x | = | 5169696 1823 | + | 550599 1250 |
Combine the items on the right of the equation:
1234531977 45575000 | x | = | 7465861977 2278750 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7465861977 2278750 | ÷ | 1234531977 45575000 |
| = | 7465861977 2278750 | × | 45575000 1234531977 |
| = | 2264441 1823 | × | 36460 374441 |
We obtained :
| x | = | 82561518860 682605943 |