Divide 19 into two parts so that the sum of the squares of the two parts is 205.
Answers
Answered by
14
- Two number are 13 & 6.
Step-by-step explanation:
Let the part be x & 19-x
- x² + (19-x)² = 205
- x² + 361 + x² - 38x = 205
- 2x² - 38x + 156 = 0
- x² - 19x + 78 = 0
- x² - 13x - 6x + 78 = 0
- x(x - 13) - 6(x - 13) = 0
- (x - 13)(x - 6) = 0
- x = 13 or 6
Answered by
2
Answer:
13 & 6 is your answer. for detailed explanation refer above Answer
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