lacybyrd42501 lacybyrd42501
  • 20-03-2021
  • Mathematics
contestada

Find two positive consecutive integers such that the square of the first added to three times the second is 24

Respuesta :

wagonbelleville wagonbelleville
  • 20-03-2021

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Answer Link

Otras preguntas

one again i really am bad at these
work out the size of angle x​
The man which came here is my uncle . Why is which inappropriate for the above question
Does the verb agree with the highlighted noun(s)? Lou comes to work early. A. Yes B. No
Suppose that a company claims that its batteries last 240 hours on average. It took many large samples, and each time the mean number of hours was outside the 9
Net worth is the amount you have,plus the amount you owe.
Someone Answer pls Need HEELLPP!!!! and if you can answer my other question in my profile ill give you brainlest. Simón Bolívar and José de San Martín led the:
add 10 to p translate into algebraic expression (plss help me) ​
PLEASE CLICK ON THIS IMAGE I NEED HELP
17. Mrs. Mallard acted differently than most women when she heard of the death of her husband because she a. was devastated that she would never see her husband