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  • 23-02-2024
  • Mathematics
contestada

what 2 numbers add to make -2 and multiply to make -1.25

Respuesta :

itzamirv2
itzamirv2 itzamirv2
  • 23-02-2024

Answer:

we can put this into an equation system:

x+y=-2

xy=-1.25

x= -1.25/y

-1.25/y + y = -2

y+2 = 1.25/y

y²+2y =5/4

y²+2y-5/4=0

solve y:

y= -1+- sqrrt(9/4)

y=-2/2+-3/2

y1=1/2

y2=-5/2

we teat our solution

y1:

x/2 =-1.25

x=-2.5

-2.5 + 0.5 = -2

so x1 = -2.5 and y1=0.5

y2:

-5x2/2 = -1.25

-5x2=-2.5

x2= 2.5/5=5/10=1/2

0.5+-2.5= -2

so

x2= 0.5

y2= -2.5

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