Respuesta :

Neang
See
x+y = 4
So one number is x & the other one 4-x

So
x (4-x) = 15/4
4x - x^2 = 15/4
15 = 16x - 4x^2
4x^2 - 16x + 15 = 0

So
16 +_√256 - 240/8
16 +_ √16 / 8
16 +_ 4 /8
20/8 or 12/8

2.5 & 1.5 are the numbers

The numbers that the sum is 4 and product is 15/4 are;

x = 1.5 and y = 2.5

Let

the first number = x

the second number = y

Therefore,

The sum of two numbers is 4 is represented as follows:

  • x + y = 4

The product of the two numbers is 15/4 is represented as follows:

  • xy = 15/4
  • x = 15 / 4y

Let's combine the equation below

15 / 4y + y = 4

15 + 4y² / 4y = 4

15 + 4y² = 16y

4y² - 16y + 15 = 0

using quadratic formula,

-b ±√b² - 4ac / 2a

a = 4

b = -16

c = 15

16 ± 4 / 8

Therefore,

y = 2.5 or y = 1.5

x + y = 4

x = 4 - 2.5

x = 1.5 and y = 2.5

learn more on sum and products:https://brainly.com/question/14198669?referrer=searchResults

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