Create a list of steps, in order, that will solve the following equation. 3(x+1)^(2)=108 Solution steps: Add 1 to both sides Divide both sides by 3 Multiply both sides by 3 Subtract 1 from both sides Square both sides Take the square root of both sides

Divide and isolate squared term: Divide both sides by 3 to isolate the squared term. Calculation: 3(x+1)² / 3 = 108 / 3 This simplifies to (x+1)² = 36.Take square root to solve for x+1: Take the square root of both sides to solve for x+1. Calculation: √((x+1)²) = ±√(36) This simplifies to x+1 = ±6.Subtract 1 to solve for x: Subtract 1 from both sides to solve for x. Calculation: x+1 - 1 = ±6 - 1 This simplifies to x = ±6 - 1.Calculate possible values for x: Calculate the two possible values for x. Calculation: x = 6 - 1 and x = -6 - 1 This simplifies to x = 5 and x = -7.

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

3(x+1)^(2)=108
Solution steps:
Add 1 to both sides
Divide both sides by 3
Multiply both sides by 3
Subtract 1 from both sides
Square both sides
Take the square root of both sides

Create a list of steps, in order, that will solve the following equation. $\newline$ $3(x+1)^{2}=108$ $\newline$ Solution steps: $\newline$ - Add $1$ to both sides $\newline$ - Divide both sides by $3$ $\newline$ - Multiply both sides by $3$ $\newline$ - Subtract $1$ from both sides $\newline$ - Square both sides $\newline$ - Take the square root of 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

3(x+1)^{2}=108

\newline

Solution steps:

\newline

- Add

1

to both sides

\newline

- Divide both sides by

3

\newline

- Multiply both sides by

3

\newline

- Subtract

1

from both sides

\newline

- Square both sides

\newline

- Take the square root of both sides

Divide and isolate squared term: Divide both sides by $3$ to isolate the squared term. $\newline$ Calculation: $\frac{3(x+1)^2}{3} = \frac{108}{3}$ $\newline$ This simplifies to $(x+1)^2 = 36$ .
Take square root to solve for $x+1$ : Take the square root of both sides to solve for $x+1$ . $\newline$ Calculation: $\sqrt{(x+1)^2} = \pm\sqrt{36}$ $\newline$ This simplifies to $x+1 = \pm6$ .
Subtract $1$ to solve for x: Subtract $1$ from both sides to solve for x. $\newline$ Calculation: $x+1 - 1 = \pm 6 - 1$ $\newline$ This simplifies to $x = \pm 6 - 1$ .
Calculate possible values for x: Calculate the two possible values for x. $\newline$ Calculation: $x = 6 - 1$ and $x = -6 - 1$ $\newline$ This simplifies to $x = 5$ and $x = -7$ .