Which equation has the same solution as x^(2)+12 x+6=7 ? (x+6)^(2)=37 (x-6)^(2)=37 (x+6)^(2)=-35 (x-6)^(2)=-35

Simplify Equation: Simplify the given equation by moving all terms to one side to set the equation equal to zero. x^2 + 12x + 6 = 7 Subtract 7 from both sides to get: x^2 + 12x + 6 - 7 = 0 x^2 + 12x - 1 = 0Compare Simplified Equations: Compare the simplified equation with each of the provided choices to see which one can be simplified to the same form. We need to find which equation, when simplified, will result in x^2 + 12x - 1 = 0.Simplify First Choice: Simplify the first choice. (x + 6)^2 = 37 Expand the left side: (x + 6)(x + 6) = 37 x^2 + 6x + 6x + 36 = 37 x^2 + 12x + 36 = 37 Subtract 37 from both sides to set the equation to zero: x^2 + 12x + 36 - 37 = 0 x^2 + 12x - 1 = 0 This matches the simplified form of the given equation.Match Found: There is no need to check the other choices since we have already found a match. The first choice simplifies to the same form as the given equation, so it has the same solution.

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Which equation has the same solution as
x^(2)+12 x+6=7 ?

(x+6)^(2)=37

(x-6)^(2)=37

(x+6)^(2)=-35

(x-6)^(2)=-35

Which equation has the same solution as $x^{2}+12 x+6=7$ ? $\newline$ $(x+6)^{2}=37$ $\newline$ $(x-6)^{2}=37$ $\newline$ $(x+6)^{2}=-35$ $\newline$ $(x-6)^{2}=-35$

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Q. Which equation has the same solution as

x^{2}+12 x+6=7

\newline

(x+6)^{2}=37

\newline

(x-6)^{2}=37

\newline

(x+6)^{2}=-35

\newline

(x-6)^{2}=-35

Simplify Equation: Simplify the given equation by moving all terms to one side to set the equation equal to zero. $\newline$ $x^2 + 12x + 6 = 7$ $\newline$ Subtract $7$ from both sides to get: $\newline$ $x^2 + 12x + 6 - 7 = 0$ $\newline$ $x^2 + 12x - 1 = 0$
Compare Simplified Equations: Compare the simplified equation with each of the provided choices to see which one can be simplified to the same form. $\newline$ We need to find which equation, when simplified, will result in $x^2 + 12x - 1 = 0$ .
Simplify First Choice: Simplify the first choice. $\newline$ $(x + 6)^2 = 37$ $\newline$ Expand the left side: $\newline$ $(x + 6)(x + 6) = 37$ $\newline$ $x^2 + 6x + 6x + 36 = 37$ $\newline$ $x^2 + 12x + 36 = 37$ $\newline$ Subtract $37$ from both sides to set the equation to zero: $\newline$ $x^2 + 12x + 36 - 37 = 0$ $\newline$ $x^2 + 12x - 1 = 0$ $\newline$ This matches the simplified form of the given equation.
Match Found: There is no need to check the other choices since we have already found a match. The first choice simplifies to the same form as the given equation, so it has the same solution.