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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 (1179*(1+x)-1503)*1.382*1.16*1.20*2.7 = 8000 .
Question type: Equation
Solution:Original question:
| ( | 1179 | ( | 1 | + | x | ) | − | 1503 | ) | × | 691 500 | × | 29 25 | × | 6 5 | × | 27 10 | = | 8000 |
| Left side of the equation = | ( | 1179 | ( | 1 | + | x | ) | − | 1503 | ) | × | 1623159 312500 |
| ( | 1179 | ( | 1 | + | x | ) | − | 1503 | ) | × | 1623159 312500 | = | 8000 |
| Left side of the equation = | 1179 | ( | 1 | + | x | ) | × | 1623159 312500 | − | 1503 | × | 1623159 312500 |
| = | 1913704461 312500 | ( | 1 | + | x | ) | − | 2439607977 312500 |
| = | 1913704461 312500 | × | 1 | + | 1913704461 312500 | x | − | 2439607977 312500 |
| = | 1913704461 312500 | + | 1913704461 312500 | x | − | 2439607977 312500 |
| = | - | 131475879 78125 | + | 1913704461 312500 | x |
| - | 131475879 78125 | + | 1913704461 312500 | x | = | 8000 |
Transposition :
1913704461 312500 | x | = | 8000 | + | 131475879 78125 |
Combine the items on the right of the equation:
1913704461 312500 | x | = | 756475879 78125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 756475879 78125 | ÷ | 1913704461 312500 |
| = | 756475879 78125 | × | 312500 1913704461 |
| = | 756475879 | × | 4 1913704461 |
We obtained :
| x | = | 3025903516 1913704461 |
Convert the result to decimal form :
| x | = | 1.581176 |