karielysdelmar karielysdelmar
  • 25-01-2015
  • Mathematics
contestada

What two numbers multiply to get 54 and add to get 36?

Respuesta :

047
047 047
  • 25-01-2015
let the numbers be x and y.
given that their sum, x+y = 36
⇒ y = 36-x

product = xy = 54
⇒ x( 36 - x) = 54
⇒ 36x - x² = 54
⇒ x² - 36x +54 = 0

Solving the quadratic equation, we get
x = 18 + 3√30 and 18-3√30

So the numbers are 18 + 3√30 and 18-3√30
Answer Link

Otras preguntas

need help on this problem
1. The dimensions of a sailboat's mainsail are shown below. What is the height of the sail? 32.5 ft 12.5 ft 32.5 feet 30 feet 30.7 feet 35.2 feet
Find the slope X: 1, 5, 9, 13 Y: 1, 17, 33, 49
Which is better Ariana Grande or Olivia Rodrigo
What is the program of the filipino nationalism?​
does it ever make sense to buy a bond that pays a negative interest rate, as the inflation-protected bond does?
Domain and rangeeeeeee
Chantal (aller) visiter le musée demain. Ova O visites allons
Calculate the force applied if 100 N/m² pressure is exerted over the area of 0.2m²​
A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass of 0.380 kg. Calculate (a) its moment of inertia about its center, and (b) the applie