Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x+3)^(2)-3=0 lesser x= greater x=

Write and simplify the equation: Write down the given equation and simplify it if possible. The given equation is (x+3)^(2)-3=0. We need to solve for x.Isolate the squared term: Add 3 to both sides of the equation to isolate the squared term. (x+3)^(2)-3+3=0+3 (x+3)^(2)=3Take the square root: Take the square root of both sides of the equation to solve for x+3. √((x+3)^(2))=±√3 x+3=±√3Solve for x: Subtract 3 from both sides of the equation to solve for x. x=±√3-3Calculate numerical values of x: Calculate the numerical values of x, rounding to two decimal places. x = √3 - 3 ≈ 1.73 - 3 ≈ -1.27 (lesser value) x = -√3 - 3 ≈ -1.73 - 3 ≈ -4.73 (greater value)

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Solve for
x. Enter the solutions from least to greatest.
Round to two decimal places.

(x+3)^(2)-3=0
lesser
x=
greater
x=

Solve for $x$ . Enter the solutions from least to greatest. $\newline$ Round to two decimal places. $\newline$ $(x+3)^{2}-3=0$ $\newline$ lesser $x=$ $\newline$ greater $x=$

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Algebra 2

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Full solution

Q. Solve for

x

. Enter the solutions from least to greatest.

\newline

Round to two decimal places.

\newline

(x+3)^{2}-3=0

\newline

lesser

x=

\newline

greater

x=

Write and simplify the equation: Write down the given equation and simplify it if possible. $\newline$ The given equation is $(x+3)^{2}-3=0$ . We need to solve for $x$ .
Isolate the squared term: Add $3$ to both sides of the equation to isolate the squared term. $\newline$ $(x+3)^{2}-3+3=0+3$ $\newline$ $(x+3)^{2}=3$
Take the square root: Take the square root of both sides of the equation to solve for $x+3$ . $\sqrt{(x+3)^{2}}=\pm\sqrt{3}$ $x+3=\pm\sqrt{3}$
Solve for x: Subtract $3$ from both sides of the equation to solve for $x$ . $\newline$ $x=\pm\sqrt{3}-3$
Calculate numerical values of $x$ : Calculate the numerical values of $x$ , rounding to two decimal places. $x = \sqrt{3} - 3 \approx 1.73 - 3 \approx -1.27$ (lesser value) $x = -\sqrt{3} - 3 \approx -1.73 - 3 \approx -4.73$ (greater value)