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

(1)/(4)(x+5)^(2)-1=3
Solution steps:
Add 1 to both sides
Multiply both sides by 4
Multiply both sides by
(1)/(4)
Subtract 1 from both sides
Subtract 5 from both sides
Square both sides
Take the

Create a list of steps, in order, that will solve the following equation. $\newline$ $\frac{1}{4}(x+5)^{2}-1=3$ $\newline$ Solution steps: $\newline$ Add $1$ to both sides $\newline$ Multiply both sides by $4$ $\newline$ Multiply both sides by $\frac{1}{4}$ $\newline$ Subtract $1$ from both sides $\newline$ Subtract $5$ from both sides $\newline$ Square both sides $\newline$ Take the

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Solve a quadratic equation using square roots

Full solution

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

\newline

\frac{1}{4}(x+5)^{2}-1=3

\newline

Solution steps:

\newline

Add

1

to both sides

\newline

Multiply both sides by

4

\newline

Multiply both sides by

\frac{1}{4}

\newline

Subtract

1

from both sides

\newline

Subtract

5

from both sides

\newline

Square both sides

\newline

Take the

Isolate the variable term: Add $1$ to both sides to isolate the term containing the variable. $\newline$ $\frac{1}{4}(x+5)^{2} - 1 + 1 = 3 + 1$ $\newline$ $\frac{1}{4}(x+5)^{2} = 4$
Eliminate the fraction: Multiply both sides by $4$ to eliminate the fraction. $\newline$ $4 \times \frac{1}{4}(x+5)^{2} = 4 \times 4$ $\newline$ $(x+5)^{2} = 16$
Solve for $x+5$ : Take the square root of both sides to solve for $x+5$ . $\newline$ $\sqrt{(x+5)^{2}} = \pm\sqrt{16}$ $\newline$ $x+5 = \pm4$
Solve for x: Subtract $5$ from both sides to solve for x. $\newline$ $x+$ $5$ - $5$ = \pm $4$ - $5$ $\newline$ $x =$ $-5$ \pm $4$
Find the solutions for $x$ : Find the two solutions for $x$ . $\newline$ $x =$ $-5$ + $4$ and $x =$ $-5$ - $4$ $\newline$ $x =$ $-1$ and $x =$ $-9$

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