Reciprocals - sum

The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers.

Correct answer:

a =  9
b =  6

Step-by-step explanation:

a+b=15 1/a+1/b = 5/18  1/a+1/(15a) = 5/18  18 ((15a)+a)=5 (15a) a  18 ((15a)+a)=5 (15a) a 5a275a+270=0 5 ...  prime number 75=352 270=2335 GCD(5,75,270)=5  a215a+54=0  p=1;q=15;r=54 D=q24pr=1524154=9 D>0  a1,2=2pq±D=215±9 a1,2=215±3 a1,2=7.5±1.5 a1=9 a2=6  a=a1=9

Our quadratic equation calculator calculates it.

b=15a=159=6



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