samieskyy7486 samieskyy7486
  • 04-01-2018
  • Mathematics
contestada

Find two positive numbers whose difference is 14 and whose product is 975

Respuesta :

anchitthawi
anchitthawi anchitthawi
  • 04-01-2018
a-b=14 ----(1)
a*b=975 ----(2)

(1) a=14+b ----(3)
put (3) in (2)
(14+b)b = 975
14b+b^2 = 975
b^2 + 14b - 975 = 0
(b+39)(b-25) =0
so b = -39 or b = 25
if b = -39 ×××× it's not a positive number
so b = 25 then a = 14 + b = 14 + 25 = 39

answer a=39, b=25
Answer Link

Otras preguntas

mrs. johnson gave a sum of money to her son and daughter in the ratio 5:6. Her daughter received $2400. how muh did Mrs. Johnson give away in all?
72 ounces in 6 steaks unit rate
Which event did Emerson call "the shot heard round the world"? A. the shots fired at the Boston Massacre B. the first shot fired at Lexington C. the last shot f
What problems faced the Roman Empire in the 200s?
Which statements describe China's early civilization? Choose all answers that are correct. A. Chinese civilization started near two major rivers. B. Millet an
Writing or publishing comment that hurt a person reputation
I what way did the delegates to the 1787 Convention represent a new generation of American leaders
what happened to farm incomes as the 1920s progressed
Which of these is a characteristic of a civilization? (4 points) cities use of resources society of equals public transportation
How did the complementary relationship between the sequences of nucleotides lead to the discovery of DNA replication?