Create a list of steps, in order, that will solve the following equation. 5(x-3)^(2)+4=129 Solution steps: Add 3 to both sides Add 4 to both sides Divide both sides by 5 Subtract 3 from both sides Subtract 4 from both sides Square both sides Take the square root of both sides

Isolate the variable term: Subtract 4 from both sides of the equation to isolate the term with the variable. 5(x-3)² + 4 - 4 = 129 - 4 5(x-3)² = 125Further isolate the squared term: Divide both sides by 5 to further isolate the squared term. 5(x-3)² / 5 = 125 / 5 (x-3)² = 25Solve for the term containing the variable: Take the square root of both sides to solve for the term containing the variable. √((x-3)²) = ±√(25) x - 3 = ±5Solve for x: Add 3 to both sides to solve for x. x - 3 + 3 = ±5 + 3 x = 8 or x = -2

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

5(x-3)^(2)+4=129
Solution steps:
Add 3 to both sides
Add 4 to both sides
Divide both sides by 5
Subtract 3 from both sides
Subtract 4 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. $\newline$ $5(x-3)^{2}+4=129$ $\newline$ Solution steps: $\newline$ - Add $3$ to both sides $\newline$ - Add $4$ to both sides $\newline$ - Divide both sides by $5$ $\newline$ - Subtract $3$ from both sides $\newline$ - Subtract $4$ 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

5(x-3)^{2}+4=129

\newline

Solution steps:

\newline

- Add

3

to both sides

\newline

- Add

4

to both sides

\newline

- Divide both sides by

5

\newline

- Subtract

3

from both sides

\newline

- Subtract

4

from both sides

\newline

- Square both sides

\newline

- Take the square root of both sides

Isolate the variable term: Subtract $4$ from both sides of the equation to isolate the term with the variable. $\newline$ $5(x-3)^2 + 4 - 4 = 129 - 4$ $\newline$ $5(x-3)^2 = 125$
Further isolate the squared term: Divide both sides by $5$ to further isolate the squared term. $\frac{5(x-3)^2}{5} = \frac{125}{5}$ $(x-3)^2 = 25$
Solve for the term containing the variable: Take the square root of both sides to solve for the term containing the variable. $\newline$ $\sqrt{(x-3)^2} = \pm\sqrt{25}$ $\newline$ $x - 3 = \pm5$
Solve for x: Add $3$ to both sides to solve for x. $x - 3 + 3 = \pm5 + 3$ $x = 8$ or $x = -2$