Solve by Completing the Square 8.12.2021

Descripción

Solve without us fractions. integers and Square Roots. Some have a common factor.
Theresa C.
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Resumen del Recurso

Pregunta 1

Pregunta
\[x^2-4x-4=0\]
Respuesta
  • \[x=2, x=-12\]
  • \[x=2\pm2\sqrt{2}\]
  • \[x=2\pm\sqrt{3}\]
  • \[x=-2\pm4\sqrt{2}\]

Pregunta 2

Pregunta
\[x^2-10x+16=0\]
Respuesta
  • \[x=-5, x=-9\]
  • \[x=8, x=2\]
  • \[x=5 \pm\sqrt{41}\]
  • \[x=\pm\sqrt{13}\]

Pregunta 3

Pregunta
\[x^2+10x-56=0\]
Respuesta
  • \[x=4, x=-14\]
  • \[x=3\pm\sqrt{29}\]
  • \[x=5\]
  • \[x=\pm\sqrt{5}\]

Pregunta 4

Pregunta
\[2x^2+4x+2=0\]
Respuesta
  • \[x=-1\]
  • \[x=-3\pm3\sqrt{5}\]
  • \[x=0, x=1\]
  • \[x=\pm\sqrt{7}\]

Pregunta 5

Pregunta
\[2x^2-12x-10=0\]
Respuesta
  • \[x=3\pm\sqrt{14}\]
  • \[x=\pm11\]
  • \[x=\pm\sqrt{19}\]
  • \[x=4, x=-8\]

Pregunta 6

Pregunta
\[3x^2-48=0\]
Respuesta
  • \[x=\pm4\]
  • \[x=-1, x=-8\]
  • \[x=-5\pm4\sqrt{10}\]
  • \[x=\pm\sqrt{2}\]

Pregunta 7

Pregunta
\[x^2+2x-14=0\]
Respuesta
  • \[x=-1\pm\sqrt{15}\]
  • \[x=3\pm4\sqrt{3}\]
  • \[x=-7, x=5\]
  • \[x=\pm7\]

Pregunta 8

Pregunta
\[5x^2-65=0\]
Respuesta
  • \[x=\pm\sqrt{13}\]
  • \[x=\pm25\]
  • \[x=-10, x=3\]
  • \[x=-6\pm\sqrt{3}\]

Pregunta 9

Pregunta
\[4x^2-20x=0\]
Respuesta
  • \[x=0,x=5\]
  • \[x=\pm2\]
  • \[x=-8\pm2\sqrt{2}\]
  • \[x=\pm6\sqrt{11}\]

Pregunta 10

Pregunta
\[x^2-12x-1=0\]
Respuesta
  • \[x=6\pm\sqrt{37}\]
  • \[x=-12, x=9\]
  • \[x=7\pm\sqrt{7}\]
  • \[x=-6\]
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