Problema Solution
Find two positive numbers that differ by 2 and have a product of 20. Answer must be in square root
Answer provided by our tutors
a - b = 2 => a = 2 + b
ab = 20
(2 + b)b = 20
b^2 + 2b - 20 = 0
b = [-2 +/- sqrt(4 + 80)]/2
b = -1 +/- sqrt21
b is positive so b = -1 + sqrt21
a = 2 + b = 1 + sqrt21