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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 1.77×1.77 = 7×7+2.5×2.5-2×7×2.5×x .
Question type: Equation
Solution:Original question:
177 100 | × | 177 100 | = | 7 | × | 7 | + | 5 2 | × | 5 2 | − | 2 | × | 7 | × | 5 2 | x |
| Left side of the equation = | 31329 10000 |
31329 10000 | = | 7 | × | 7 | + | 5 2 | × | 5 2 | − | 2 | × | 7 | × | 5 2 | x |
| Right side of the equation = | 49 | + | 25 4 | − | 35 | x |
| = | 221 4 | − | 35 | x |
31329 10000 | = | 221 4 | − | 35 | x |
Transposition :
| 35 | x | = | 221 4 | − | 31329 10000 |
Combine the items on the right of the equation:
| 35 | x | = | 521171 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 521171 10000 | ÷ | 35 |
| = | 521171 10000 | × | 1 35 |
| = | 74453 10000 | × | 1 5 |
We obtained :
| x | = | 74453 50000 |
Convert the result to decimal form :
| x | = | 1.48906 |