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Work: Find the solution of equation 440*440+790*790 = x*x .
Question type: Equation
Solution:Original question:| | 440 | × | 440 | + | 790 | × | 790 | = | x | x |
| Left side of the equation = | 193600 | + | 624100 |
The equation is transformed into :
After the equation is converted into a general formula, there is a common factor:
( x - √817700 )
From
x - √817700 = 0
it is concluded that::
x1=√817700
Solutions that cannot be obtained by factorization:
x2≈-904.267659 , keep 6 decimal places
There are 2 solution(s).
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