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

What is the i.u.p.a.c. name of the organic acid produced by oxidation of ethanol?
Given that G(x)=x-3/x+4 find each of the following G(5) G(3) G(-4) G(-10.25) G(x+h)
Why did the united states launch rockets from florida?
Which of the following has two congruent parallel discs for bases?
A student increases the temperature of a 200 cm3 balloon from 33degrees C to 47degrease C. What will the new volume of the ballon be?
The cradle of civilization can be traced to one particular reason. True or False?
The less dense areas in a sound wave are called _____.
HELP!! Nuclear fusion A) produces more radioactive waste than nuclear fission B) creates 'daughter' nuclei C) involve
What system removes metabolic wastes from the body?
simplify this rational expression 5x^2+3x-11/x+3 the quotient is ___, and the remainder is ____