Overview: 4 questions will be solved this time.Among them
☆4 equations
[ 1/4 Equation]
Work: Find the solution of equation 4024 = 2(500-40)x+2(250-40-2x)x .
Question type: Equation
Solution:Original question:| | 4024 | = | 2 | ( | 500 | − | 40 | ) | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 500 | x | − | 2 | × | 40 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 1000 | x | − | 80 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | × | 250 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 920 | x | + | 500 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈3.030398 , 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》[ 2/4 Equation]
Work: Find the solution of equation 2687 = 2(500-40)x+2(250-40-2x)x .
Question type: Equation
Solution:Original question:| | 2687 | = | 2 | ( | 500 | − | 40 | ) | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 500 | x | − | 2 | × | 40 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 1000 | x | − | 80 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | × | 250 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 920 | x | + | 500 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈2.017373 , 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》[ 3/4 Equation]
Work: Find the solution of equation 1138 = 2(500-40)x+2(250-40-2x)x .
Question type: Equation
Solution:Original question:| | 1138 | = | 2 | ( | 500 | − | 40 | ) | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 500 | x | − | 2 | × | 40 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 1000 | x | − | 80 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | × | 250 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 920 | x | + | 500 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈0.851418 , 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》[ 4/4 Equation]
Work: Find the solution of equation 1780 = 2(500-40)x+2(250-40-2x)x .
Question type: Equation
Solution:Original question:| | 1780 | = | 2 | ( | 500 | − | 40 | ) | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 2 | × | 500 | x | − | 2 | × | 40 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 1000 | x | − | 80 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | ( | 250 | − | 40 | − | 2 | x | ) | x |
| = | 920 | x | + | 2 | × | 250 | x | − | 2 | × | 40 | x | − | 2 | × | 2 | x | x |
| = | 920 | x | + | 500 | x | − | 80 | x | − | 4 | x | x |
The equation is transformed into :
the solutions is:
x≈1.333668 , 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!