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The sum of two real number is 18 and the product is 68. What are the two numbers

User Sturrockad
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Answer: let two numbers be x and y.

then, x + y = 18 .........(1)

and xy= 68.........(2)

we know,

(x-y)² = (x+y)² - 4xy

putting value from equations (1) and (2), we get

(x-y)² = 52

x-y = √52......... (3)

solving equations (1) and (3), we get

x = (18+√52)/2 and y = (18-√52)/2

Hence, we have two numbers.

Step-by-step explanation:

 (x+y)² - 4xy = x² + y² + 2xy -4xy

 = x² + y² - 2xy

 = (x-y)

User Nordis
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