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 100+2x = (110-18*3)(5.55-0.85x)(6.55-0.85x)/12 .
Question type: Equation
Solution:Original question:
| 100 | + | 2 | x | = | ( | 110 | − | 18 | × | 3 | ) | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) | ÷ | 12 |
| Right side of the equation = | 110 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) | × | 1 12 | − | 18 | × | 3 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) | × | 1 12 |
| = | 55 6 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 55 6 | × | 111 20 | ( | 131 20 | − | 17 20 | x | ) | − | 55 6 | × | 17 20 | x | ( | 131 20 | − | 17 20 | x | ) | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 407 8 | ( | 131 20 | − | 17 20 | x | ) | − | 187 24 | x | ( | 131 20 | − | 17 20 | x | ) | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 407 8 | × | 131 20 | − | 407 8 | × | 17 20 | x | − | 187 24 | x | ( | 131 20 | − | 17 20 | x | ) | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 53317 160 | − | 6919 160 | x | − | 187 24 | x | ( | 131 20 | − | 17 20 | x | ) | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 53317 160 | − | 6919 160 | x | − | 187 24 | x | × | 131 20 | + | 187 24 | x | × | 17 20 | x | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) |
| = | 53317 160 | − | 6919 160 | x | − | 24497 480 | x | + | 3179 480 | x | x | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 53317 160 | − | 22627 240 | x | + | 3179 480 | x | x | − | 9 2 | ( | 111 20 | − | 17 20 | x | ) | ( | 131 20 | − | 17 20 | x | ) |
| = | 53317 160 | − | 22627 240 | x | + | 3179 480 | x | x | − | 9 2 | × | 111 20 | ( | 131 20 | − | 17 20 | x | ) | + | 9 2 | × | 17 20 | x |
| = | 53317 160 | − | 22627 240 | x | + | 3179 480 | x | x | − | 999 40 | ( | 131 20 | − | 17 20 | x | ) | + | 153 40 | x | ( | 131 20 | − | 17 20 | x | ) |
| = | 53317 160 | − | 22627 240 | x | + | 3179 480 | x | x | − | 999 40 | × | 131 20 | + | 999 40 | × | 17 20 | x | + | 153 40 |
| = | 53317 160 | − | 22627 240 | x | + | 3179 480 | x | x | − | 130869 800 | + | 16983 800 | x | + | 153 40 | x | ( | 131 20 | − | 17 20 | x | ) |
| = | 33929 200 | − | 175321 2400 | x | + | 3179 480 | x | x | + | 153 40 | x | ( | 131 20 | − | 17 20 | x | ) |
| = | 33929 200 | − | 175321 2400 | x | + | 3179 480 | x | x | + | 153 40 | x | × | 131 20 | − | 153 40 | x | × | 17 20 |
| = | 33929 200 | − | 175321 2400 | x | + | 3179 480 | x | x | + | 20043 800 | x | − | 2601 800 | x | x |
| = | 33929 200 | − | 14399 300 | x | + | 3179 480 | x | x | − | 2601 800 | x | x |
| 100 | + | 2 | x | = | 33929 200 | − | 14399 300 | x | + | 3179 480 | x | x | − | 2601 800 | x | x |
The solution of the equation:
x1≈1.556340 , keep 6 decimal places
x2≈13.272132 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》