sydfrank
sydfrank sydfrank
  • 11-02-2016
  • Mathematics
contestada

what two numbers can be multiplied to be 60 and added to be -16

Respuesta :

taskmasters
taskmasters taskmasters
  • 11-02-2016
Let us assume the two numbers to be "x" and "y".
Then
xy = 60
x = 60/y
And
x + y = -16
Putting the value of "x" from the first equation in the second equation we get
x + y = - 16
(60/y) + y = - 16
y2 + 60 = - 16y
y^2 + 16y + 60 = 0
y2 + 10y + 6y + 60 = 0
y(y + 10) + 6(y + 10) = 0
(y + 10) ( y + 6) = 0
Then
y + 10 = 0
y = -10
So
x = 60/y
   = - (60/10)
   = -6
When
y + 6 = 0
y = - 6
Then
x = 60/y
   = - (60/6)
   = - 10
So the two unknown numbers are - 6 and - 10.
Answer Link

Otras preguntas

Which statements are accurate definitions for history? Choose all answers that are correct. a. a narrative anchored in chronology b. an account of the impact
Where does Marty sleep in the book Shiloh
52.68 feet per hour convert to inches
What are the first three common multiples of 12 and 28
With respect to Australia's aboriginal peoples, animistic religious beliefs are characterized by _______ worship. a. nature b. sun c. ancestor d. sky-god
Asses the validity of the statement; "Jamestown developed into a successful colony because of its strong leadership."
What is the decimal for 87 24/25
How is estimation helpful when adding and subtracting decimals
The total of 36 78 198 475 and 620
The average person loses about 8x10 strands of hair each day. About how many strands of hair would the average person lose in 9 days?