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 800*x*x-710*(x-12)*(x-12)-6.667*3917*(1116.5-x) = 0 .
Question type: Equation
Solution:Original question:
| 800 | x | x | − | 710 | ( | x | − | 12 | ) | ( | x | − | 12 | ) | − | 6667 1000 | × | 3917 | ( | 2233 2 | − | x | ) | = | 0 |
| Left side of the equation = | 800 | x | x | − | 710 | ( | x | − | 12 | ) | ( | x | − | 12 | ) | − | 26114639 1000 | ( | 2233 2 | − | x | ) |
| 800 | x | x | − | 710 | ( | x | − | 12 | ) | ( | x | − | 12 | ) | − | 26114639 1000 | ( | 2233 2 | − | x | ) | = | 0 |
| Left side of the equation = | 800 | x | x | − | 710 | x | ( | x | − | 12 | ) | + | 710 | × | 12 | ( | x | − | 12 | ) | − | 26114639 1000 | ( | 2233 2 | − | x | ) |
| = | 800 | x | x | − | 710 | x | ( | x | − | 12 | ) | + | 8520 | ( | x | − | 12 | ) | − | 26114639 1000 | ( | 2233 2 | − | x | ) |
| = | 800 | x | x | − | 710 | x | x | + | 710 | x | × | 12 | + | 8520 | ( | x | − | 12 | ) | − | 26114639 1000 |
| = | 800 | x | x | − | 710 | x | x | + | 8520 | x | + | 8520 | ( | x | − | 12 | ) | − | 26114639 1000 | ( | 2233 2 | − | x | ) |
| = | 800 | x | x | − | 710 | x | x | + | 8520 | x | + | 8520 | x | − | 8520 | × | 12 |
| = | 800 | x | x | − | 710 | x | x | + | 8520 | x | + | 8520 | x | − | 102240 | − | 26114639 1000 |
| = | 800 | x | x | − | 710 | x | x | + | 17040 | x | − | 102240 | − | 26114639 1000 | ( | 2233 2 | − | x | ) |
| = | 800 | x | x | − | 710 | x | x | + | 17040 | x | − | 102240 | − | 26114639 1000 | × | 2233 2 | + | 26114639 1000 |
the solutions is:
x≈378.783901 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》