Question

the sum of 2 digits is k (k<0) and sum of squares of both digit gives a value 61. the product of two digits 30. find k.
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Answer 1

Answer:

Let the two numbers be x and y

20 xy=20⇒y=

400

x² + y² =41⇒x² + -=41

⇒x¹ +400=41x²

⇒(x²)²-4 -41x²+400=0

⇒x² =

41± √412-1600

2

1+40)(41-40) 41± (41+4

2

41± √√81

2

41±9 2

50 2

4G 92%

32

or 2 +√16 ⇒x=±√25 = 15 or or ±4

The two numbers are either (5 and 4)

Step-by-step explanation:

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