Difference of two number

The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.

Correct answer:

a =  25
b =  5

Step-by-step explanation:

ab=20 b2=a=25=0 b2b20=0  b2b20=0  p=1;q=1;r=20 D=q24pr=1241(20)=81 D>0  b1,2=2pq±D=21±81 b1,2=21±9 b1,2=0.5±4.5 b1=5 b2=4 b=b1=5 a=b2=52=25

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