TeDDyHuGz1806
TeDDyHuGz1806 TeDDyHuGz1806
  • 12-06-2022
  • Mathematics
contestada

(x+5)²=9
Difference of 2 squares
quadratic equation
solve (please show full working)

Respuesta :

loneguy
loneguy loneguy
  • 12-06-2022

Answer:

[tex]x= -8\\\\x= - 2[/tex]

Step-by-step explanation:

[tex]~~~~~~~~(x+5)^2 = 9\\\\\implies (x+5)^2 -9 = 0\\\\\implies (x+5)^2 - 3^2 = 0\\\\\implies (x+5 +3)(x +5 - 3)=0~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\\implies (x+8)( x+2) = 0\\\\\implies x = -8,~ x = -2[/tex]

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