Question

divide 40 into two parts such that the sum of their reciprocals is 8/75​

Answer 1

Step-by-step explanation:

let the part be x and (40-x).....

According to the question

1/x+1/40-x=8/75

40-x+x/x(40-x)=8/75

40/40x-x2=8/75

=3000=320x-8x2

=8x2-320x+3000=0

=x2-40x+375=0

=x2-25x-15x+375=0

=x(x-25)-15(x-25)=0

=x=15 or 25

so,the two part =15 and 25.

Answer 2

Answer:

×=15/×=25

Step-by-step explanation:

×+y=40 1/×+1/y=8/75 40/×y=8/75=×y=375 or y =375/× ×+375/×=40=×2-40×+3+5=0=×2-25×-15×+375=0= ×(×-25)-15(×-25)=0 ×=25 OR ×=15 y =40-25=15, y=40-15=25. Ans:-40=15 or 25.