Question

the sum of two no is 8 and the sum of their reciprocals is 8/15. Find the no.​

Answer 1

Answer:

one no.= x

2nd no.= 8-x

their sum of reciprocal is 8/15

so,

1/x +1/8-x =8/15

8-x+x. = 8

(x)(8-x). 15

8 = 8

-x²+8. 15

(cross multiply)

15 x 8 = 8(-x²+8)

120=-8x² + 64

120-64=-8x²