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$Rewrite the equation by completing the square. {:[x^(2)+14 x+49=0],[(x+◻)^(2)=◻]:}$

Rewrite the equation by completing the square. $\newline$ $x^2+14x+49=0$ $\newline$ $(x+\square)^2=\square$

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Solve a quadratic equation by completing the square

Full solution

Q. Rewrite the equation by completing the square.

\newline

x^2+14x+49=0

\newline

(x+\square)^2=\square

Identify equation: Identify the equation to be rewritten by completing the square. $\newline$ We have the quadratic equation $x^2 + 14x + 49 = 0$ .
Recognize perfect square trinomial: Recognize that the equation is already a perfect square trinomial. $\newline$ The equation $x^2 + 14x + 49$ can be factored as $(x + 7)^2$ because $14x$ is twice the product of $7$ and $x$ , and $49$ is $7^2$ .
Rewrite in completed square form: Rewrite the equation in the completed square form. $\newline$ The completed square form of the equation is $(x + 7)^2 = 0$ .

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