priyajegan11 priyajegan11
  • 19-07-2021
  • Mathematics
contestada

What is the largest value of x for which the following equation has a real solution (x,y)?

What is the largest value of x for which the following equation has a real solution xy class=

Respuesta :

iwantlasagna iwantlasagna
  • 19-07-2021

Answer:

x = 9/2

Step-by-step explanation:

x^2+7x+y^2+4y=191/4

Complete the square: (x+7/2)^2-(49/4)+(y+2)^2-4 = 191/4

Simplify: (x+7/2)^2+(y+2)^2=191/4+49/4+4

(x+7/2)^2 + (y+2)^2 = 64

(x+7/2)^2 + (y+2)^2 = (8)^2

Center of circle -> (-7/2, -2)

Radius -> 8

-7/2 + 8 = 9/2

x = 9/2

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