Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x+8)^(2)-7=0 lesser x= greater x=

Write and prepare equation: Write down the given equation and prepare to solve for x. The given equation is (x+8)² - 7 = 0.Isolate squared term: Add 7 to both sides of the equation to isolate the squared term. (x+8)² - 7 + 7 = 0 + 7 (x+8)² = 7Take square root: Take the square root of both sides of the equation to solve for x+8. √((x+8)²) = ±√7 x+8 = ±√7Solve for x: Subtract 8 from both sides to solve for x. x = -8 ± √7Calculate numerical values: Calculate the numerical values of x, rounding to two decimal places. x = -8 + √7 ≈ -8 + 2.65 ≈ -5.35 (greater solution) x = -8 - √7 ≈ -8 - 2.65 ≈ -10.65 (lesser solution)

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

(x+8)^(2)-7=0
lesser
x=
greater
x=

Solve for $x$ . Enter the solutions from least to greatest. $\newline$ Round to two decimal places. $\newline$ $(x+8)^{2}-7=0$ $\newline$ 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+8)^{2}-7=0

\newline

lesser

x=

\newline

greater

x=

Write and prepare equation: Write down the given equation and prepare to solve for $x$ . The given equation is $(x+8)^2 - 7 = 0$ .
Isolate squared term: Add $7$ to both sides of the equation to isolate the squared term. $\newline$ $(x+8)^2 - 7 + 7 = 0 + 7$ $\newline$ $(x+8)^2 = 7$
Take square root: Take the square root of both sides of the equation to solve for $x+8$ . $\sqrt{(x+8)^2} = \pm\sqrt{7}$ $x+8 = \pm\sqrt{7}$
Solve for x: Subtract $8$ from both sides to solve for $x$ . $\newline$ $x = -8 \pm \sqrt{7}$
Calculate numerical values: Calculate the numerical values of $x$ , rounding to two decimal places. $x = -8 + \sqrt{7} \approx -8 + 2.65 \approx -5.35$ (greater solution) $x = -8 - \sqrt{7} \approx -8 - 2.65 \approx -10.65$ (lesser solution)