Question
Can you find two positive numbers whose sum and product are both 5? Round off to nearest hundredth, please.
Answers
Reiny
x+y = 5 , or y = 5-x
xy = 5
x(5-x) = 5
x^2 - 5x + 5 = 0
x = (5 ± √5)/2
= appr 3.62 or 1.38
if x = appr 3.62 , y = 1.38
if x = 1.38 , then y = 3.62
the two number are 1.38 and 3.62
check: 1.38+3.62 = 5
(1.38)(3.62) = 4.9956 , pretty good with 2 decimal places of x and y
xy = 5
x(5-x) = 5
x^2 - 5x + 5 = 0
x = (5 ± √5)/2
= appr 3.62 or 1.38
if x = appr 3.62 , y = 1.38
if x = 1.38 , then y = 3.62
the two number are 1.38 and 3.62
check: 1.38+3.62 = 5
(1.38)(3.62) = 4.9956 , pretty good with 2 decimal places of x and y