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Work: Find the solution of equation （500+100m）（2-m）+3600 = 1700 .
Question type: Equation
Solution:Original question:| | ( | 500 | + | 100 | m | ) | ( | 2 | − | m | ) | + | 3600 | = | 1700 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 500 | ( | 2 | − | m | ) | + | 100 | m | ( | 2 | − | m | ) | + | 3600 |
| = | 500 | × | 2 | − | 500 | m | + | 100 | m | ( | 2 | − | m | ) | + | 3600 |
| = | 1000 | − | 500 | m | + | 100 | m | ( | 2 | − | m | ) | + | 3600 |
| = | 4600 | − | 500 | m | + | 100 | m | ( | 2 | − | m | ) |
| = | 4600 | − | 500 | m | + | 100 | m | × | 2 | − | 100 | m | m |
| = | 4600 | − | 500 | m | + | 200 | m | − | 100 | m | m |
The equation is transformed into :
| | 4600 | − | 300 | m | − | 100 | m | m | = | 1700 |
The solution of the equation:
m1≈-7.090170 , keep 6 decimal places
m2≈4.090170 , keep 6 decimal places
There are 2 solution(s).
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