Create a list of steps, in order, that will solve the following equation. 2(x+2)^(2)-5=93 Solution steps: Add 2 to both sides Add 5 to both sides Divide both sides by 2 Multiply both sides by 2 Subtract 2 from both sides Subtract 5 from both sides Take the square root of both sides

Isolate quadratic term: Add 5 to both sides to isolate the quadratic term. 2(x+2)² - 5 + 5 = 93 + 5 2(x+2)² = 98Solve for squared term: Divide both sides by 2 to solve for the squared term. 2(x+2)² / 2 = 98 / 2 (x+2)² = 49Solve for x+2: Take the square root of both sides to solve for x+2. √(x+2)² = ±√49 x+2 = ±7Solve for x: Subtract 2 from both sides to solve for x. x+2 - 2 = ±7 - 2 x = 5 or x = -9

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Create a list of steps, in order, that will solve the following equation.

2(x+2)^(2)-5=93
Solution steps:
Add 2 to both sides
Add 5 to both sides
Divide both sides by 2
Multiply both sides by 2
Subtract 2 from both sides
Subtract 5 from both sides
Take the square root of both sides

Create a list of steps, in order, that will solve the following equation. $\newline$ $2(x+2)^{2}-5=93$ $\newline$ Solution steps: $\newline$ - Add $5$ to both sides $\newline$ - Divide both sides by $2$ $\newline$ - Take the square root of both sides $\newline$ - Subtract $2$ from both sides

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Math Problems

Algebra 2

Solve a quadratic equation using square roots

Full solution

Q. Create a list of steps, in order, that will solve the following equation.

\newline

2(x+2)^{2}-5=93

\newline

Solution steps:

\newline

- Add

5

to both sides

\newline

- Divide both sides by

2

\newline

- Take the square root of both sides

\newline

- Subtract

2

from both sides

Isolate quadratic term: Add $5$ to both sides to isolate the quadratic term. $\newline$ $2(x+2)^2 - 5 + 5 = 93 + 5$ $\newline$ $2(x+2)^2 = 98$
Solve for squared term: Divide both sides by $2$ to solve for the squared term. $\frac{2(x+2)^2}{2} = \frac{98}{2}$ $(x+2)^2 = 49$
Solve for $x+2$ : Take the square root of both sides to solve for $x+2$ . $\sqrt{(x+2)^2} = \pm\sqrt{49}$ $x+2 = \pm7$
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