ashleymtzclavijo439 ashleymtzclavijo439
  • 23-05-2021
  • Mathematics
contestada

Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?


A){2 +√11 , 2 - √11}

B){-2 +√11 , -2 - √11}

C){2 + √11, 2 +√11 }

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 24-05-2021

Answer:

        A) {2 +√11 , 2 - √11}

Step-by-step explanation:

[tex]x^2 - 4x-7=0\\\\\underline{x^2 - 2\cdot x\cdot2+2^2}-2^2-7 =0\\\\\big(x-2\big)^2-4-7=0\\\\ \big(x-2\big)^2=11\\\\ x-2=\pm\sqrt{11}\\\\ x=2\pm\sqrt{11}[/tex]

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