danielaalvarezd danielaalvarezd
  • 09-02-2017
  • Mathematics
contestada

What 2 numbers equal to 24 when multiplied but when added it equals to -14

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Joshtray
Joshtray Joshtray
  • 09-02-2017
[tex]xy=24[/tex]
[tex]x+y=-14[/tex]
Squaring both sides of the second equation we get
[tex](x+y)^2=196[/tex]
[tex]x^2+y^2+2xy=196[/tex]
But xy = 24,
[tex]x^2+y^2+48=196[/tex]
[tex]x^2+y^2=148[/tex]
Subtract 2xy from both sides
But -2xy=-48
[tex]x^2+y^2-2xy=148-48[/tex]
[tex](x-y)^2=100[/tex]
[tex]x-y=100[/tex]
If x + y = -14 and x - y = 100
then x = 43 and y = - 57.
Please mark me as brainliest.

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