lolhxpnotic lolhxpnotic
  • 25-04-2021
  • Mathematics
contestada

What are the numbers with a sum of 9 and product of -10

Respuesta :

ghanami
ghanami ghanami
  • 25-04-2021

Answer:

-1 , 10   and 10 , -1

Step-by-step explanation:

hello :

if x , y  this numbers you have the system :   x+y =9.....(*)

                                                                        xy = -10.....(**)

use (*) : y = 9 - x

put this value of y in (**) : x(9-x) = -10

9x  - x² = - 10

x²-9x - 10 = 0

(x+1)(x-10)=0  means : x+1 = 0 or x -10 = 0

x = -  1   or x=10

if : x= -1    y = 9-(-1)=10

if : x= 10   y = 9-(10)=1

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