butlerchauncey butlerchauncey
  • 02-09-2020
  • Mathematics
contestada

The product of two whole numbers is 504 and their sum is 45. What are the two numbers?

Respuesta :

muhammadolim
muhammadolim muhammadolim
  • 02-09-2020

Answer:

21, 24

Step-by-step explanation:

1. Given:

  • [tex]xy=504[/tex]
  • [tex]x+y=45[/tex]
  • [tex]y=45-x[/tex]

2. Solution:

  • [tex]x(45-x)=504[/tex]
  • [tex]45x-x^2=504[/tex]
  • [tex]x^2-45x+504=0[/tex]
  • [tex]x^2-24x-21x+504=0[/tex]
  • [tex]x(x-24)-21(x-24)=0[/tex]
  • [tex](x-24)(x-21)=0[/tex]
  • [tex]x_1=24[/tex] ⇒ [tex]y_1=21[/tex]
  • [tex]x_2=21[/tex] ⇒ [tex]y_2=24[/tex]
Answer Link

Otras preguntas

Consider the nuclear equation below. 22 22 0 Na --------> Ne + B 11 10 ?
Solve for m1!!!!!!???????
The anaerobic portion(s) of cellular respiration is (are): a. Glycolysis b. Citric Acid Cycle c. Electron Transport d. Both A & B e. Both B & C
Which of the quadratics has a graph with x-intercepts of 5 and -1?
In Mesoamerican civilizations, enslaved persons were often
What what was the first dogs name who went to space and when did he die?
need help pleaseOn all three
I need help please I dont understand
how did settlers in Texas react to the law of April 6 , 1830 (texas history)
Find the values of x and y.