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Work: Find the solution of equation 3000 = (10+X)x(200-5X) .
Question type: Equation
Solution:Original question:| | 3000 | = | ( | 10 | + | X | ) | X | ( | 200 | − | 5 | X | ) |
Remove the bracket on the right of the equation:
| Right side of the equation = | 10 | X | ( | 200 | − | 5 | X | ) | + | X | X | ( | 200 | − | 5 | X | ) |
| = | 10 | X | × | 200 | − | 10 | X | × | 5 | X | + | X | X | ( | 200 | − | 5 | X | ) |
| = | 2000 | X | − | 50 | X | X | + | X | X | ( | 200 | − | 5 | X | ) |
| = | 2000 | X | − | 50 | X | X | + | X | X | × | 200 | − | X | X | × | 5 | X |
The equation is transformed into :
| | 3000 | = | 2000 | X | − | 50 | X | X | + | X | X | × | 200 | − | X | X | × | 5 | X |
The solution of the equation:
X1≈-11.062209 , keep 6 decimal places
X2≈1.366357 , keep 6 decimal places
X3≈39.695851 , keep 6 decimal places
There are 3 solution(s).
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