Respuesta :

xy = -14
x + y = -3

[tex]xy = -14[/tex]
[tex]\frac{xy}{x} = \frac{-14}{x}[/tex]
[tex]y = \frac{-14}{x}[/tex]

[tex]x + y = -3[/tex]
[tex]x + \frac{-14}{x} = -3[/tex]
[tex]\frac{x^{2}}{x} + \frac{-14}{x} = -3[/tex]
[tex]\frac{x^{2} - 14}{x} = -3[/tex]
[tex]x^{2} - 14 = -3x[/tex]
[tex]x^{2} + 3x - 14 = 0[/tex]
[tex]x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}[/tex]
[tex]x = \frac{-3 \± \sqrt{9 + 56}}{2}[/tex]
[tex]x = \frac{-3 \± \sqrt{65}}{2}[/tex]
[tex]x = \frac{-3 \± 8.06}{2}[/tex]
[tex]x = -1.5 \± 4.03[/tex]
[tex]x = -1.5 + 4.03[/tex]    [tex]or[/tex]    [tex]x = -1.5 - 4.03[/tex]
[tex]x = 2.53[/tex]    [tex]or[/tex]    [tex]x = -5.53[/tex]

        x + y = -3
   2.53 + y = -3
 - 2.53         - 2.53
              y = -5.53
        (x, y) = (2.53, -5.53)
         
         x + y = -3
  -5.53 + y = -3
+ 5.53         + 5.53
              y = 2.53
        (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

Answer:

number one is corout

Step-by-step explanation

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