Question

5. दो संख्याओं का योग 48 तथा उनका गुणनफल 432 है, संख्याएँ ज्ञात कीजिए।​

Answer 1

Step-by-step explanation:

Let the required numbers be x and y

According to the given information

x + y = 48 and xy = 432

$( {x - y)}^{2} = ( {x + y)}^{2} - 4xy \\ = {48}^{2} - 4 \times 432 \\ = 2304 - 1728 \\ = 576 \\ x - y = 24 \\ x + y + x - y = 48 + 24 \\ 2x = 72 \\ x = 36 \: \implies \: y \: = \: 12 \\ thus \: the \: required \: numbers \: are \: \\ 12 \: and \: 36.$