# math

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the sum of two numbers is 42. their product is 185. what are the two numbers?

• math -

37 and 5

• math -

x+y = 42 ---> y = 42-x

xy = 185
x(42-x) = 185
42x - x^2 - 185 = 0
x^2 - 42x + 185 = 0
x^2 - 42x +441 = -185+441
(x-21)^2 = 256
x-21 = ± √256
x = 21 ±16 = 37 or 5

if one number is 37 , the other is 5

or one is 5 , the other is 37

check:
sum = 37+5 = 42
product = 37x5 = 185

• math -

9b+21

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