jalalkakar2015
jalalkakar2015 jalalkakar2015
  • 01-07-2019
  • Mathematics
contestada

Determine the solution for x^2 + 36 > 12x

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-07-2019

Answer:

(6, ∞)

(-∞, 6)

Step-by-step explanation:

x^2 + 36 > 12x

Subtract 12 x from each side

x^2 -12 x+ 36 > 12x-12x

x^2 -12 x+ 36 > 0

Factor

What 2 numbers multiply together to give us 36 and add together to give us 12

-6*-6 = 36

-6+-6 = 12

(x-6) ^2 > 0

Take the square root of each side

x-6 >0   or  x-6 <0

x>6     or   x < 6

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