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Some the quadratic equation by completing the square.x^2+4x-11=0First choose the appropriate form and fill in the blanks with the correct numbers. Then solve the equation. If there’s more than one solution separate them with commas.

Some the quadratic equation by completing the squarex24x110First choose the appropriate form and fill in the blanks with the correct numbers Then solve the equa class=

Respuesta :

[tex]x^2+4x-11=0[/tex]

By completing the square, we have:

[tex]\begin{gathered} x^2+4x=11 \\ x^2+4x+2^2=11+2^2 \\ (x+2)^2=11+4 \\ (x+2)^2=15 \end{gathered}[/tex]

Take the square root of both sides

[tex]\begin{gathered} (x+2)=\pm\sqrt[]{15} \\ x=+\sqrt[]{15}-2\text{ OR x= -}\sqrt[]{15}-2 \\ x=3.8729-2\text{ OR -3.8729-2} \\ x=1.873\text{ OR -5.873} \end{gathered}[/tex]

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