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[ 1/1 Equation]
Work: Find the solution of equation (x+4/3)*(x+4/3)+9x*x = 4 .
Question type: Equation
Solution:Original question:| | ( | x | + | 4 | ÷ | 3 | ) | ( | x | + | 4 | ÷ | 3 | ) | + | 9 | x | x | = | 4 |
Remove the bracket on the left of the equation:
| Left side of the equation = | x | ( | x | + | 4 | ÷ | 3 | ) | + | 4 | ÷ | 3 | × | ( | x | + | 4 | ÷ | 3 | ) | + | 9 | x | x |
| = | x | ( | x | + | 4 | ÷ | 3 | ) | + | 4 3 | ( | x | + | 4 | ÷ | 3 | ) | + | 9 | x | x |
| = | x | x | + | x | × | 4 | ÷ | 3 | + | 4 3 | ( | x | + | 4 | ÷ | 3 | ) | + | 9 | x | x |
| = | x | x | + | x | × | 4 3 | + | 4 3 | ( | x | + | 4 | ÷ | 3 | ) | + | 9 | x | x |
| = | x | x | + | 4 3 | x | + | 4 3 | x | + | 4 3 | × | 4 | ÷ | 3 | + | 9 | x | x |
| = | x | x | + | 4 3 | x | + | 4 3 | x | + | 16 9 | + | 9 | x | x |
| = | x | x | + | 8 3 | x | + | 16 9 | + | 9 | x | x |
The equation is transformed into :
| | x | x | + | 8 3 | x | + | 16 9 | + | 9 | x | x | = | 4 |
The solution of the equation:
x1≈-0.623231 , keep 6 decimal places
x2≈0.356565 , keep 6 decimal places
There are 2 solution(s).
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