Overview: 3 questions will be solved this time.Among them
☆3 equations
[ 1/3 Equation]
Work: Find the solution of equation 1742 = 2(450-40)x+2(450-40-2x)x .
Question type: Equation
Solution:Original question:| | 1742 | = | 2 | ( | 450 | − | 40 | ) | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 450 | x | − | 2 | × | 40 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 900 | x | − | 80 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 820 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 820 | x | + | 2 | × | 450 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 820 | x | + | 900 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈1.064961 , 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》[ 2/3 Equation]
Work: Find the solution of equation 882 = 2(450-40)x+2(450-40-2x)x .
Question type: Equation
Solution:Original question:| | 882 | = | 2 | ( | 450 | − | 40 | ) | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 450 | x | − | 2 | × | 40 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 900 | x | − | 80 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 820 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 820 | x | + | 2 | × | 450 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 820 | x | + | 900 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈0.538512 , 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》[ 3/3 Equation]
Work: Find the solution of equation 603 = 2(450-40)x+2(450-40-2x)x .
Question type: Equation
Solution:Original question:| | 603 | = | 2 | ( | 450 | − | 40 | ) | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 450 | x | − | 2 | × | 40 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 900 | x | − | 80 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 820 | x | + | 2 | ( | 450 | − | 40 | − | 2 | x | ) | x |
| = | 820 | x | + | 2 | × | 450 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 820 | x | + | 900 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈0.368013 , 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》Your problem has not been solved here? Please go to the Hot Problems section!