Question Solve for y: $\sqrt{y+4}-4=0$

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $\sqrt{y+4}-4=0$ .
2. We need to solve for $y$ .

STEP 2

First, we isolate the square root term on one side of the equation.
$\sqrt{y+4} = 4$

STEP 3

Next, we square both sides of the equation to eliminate the square root.
$(\sqrt{y+4})^2 = 4^2$

STEP 4

Calculate the squares on both sides of the equation.
$y+4 = 16$

STEP 5

Now, we isolate the variable $y$ by subtracting 4 from both sides of the equation.
$y = 16 - 4$

STEP 6

Calculate the value of $y$ .
$y = 12$
The solution for $y$ is $y = 12$ .

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Question Solve for y: $\sqrt{y+4}-4=0$

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $\sqrt{y+4}-4=0$ .
2. We need to solve for $y$ .

STEP 2

First, we isolate the square root term on one side of the equation.
$\sqrt{y+4} = 4$

STEP 3

Next, we square both sides of the equation to eliminate the square root.
$(\sqrt{y+4})^2 = 4^2$

STEP 4

Calculate the squares on both sides of the equation.
$y+4 = 16$

STEP 5

Now, we isolate the variable $y$ by subtracting 4 from both sides of the equation.
$y = 16 - 4$

STEP 6

Calculate the value of $y$ .
$y = 12$
The solution for $y$ is $y = 12$ .

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Question Solve for y: y+4−4=0\sqrt{y+4}-4=0y+4​−4=0

Studdy Solution

STEP 1

Assumptions1. We are given the equation y+4−4=0\sqrt{y+4}-4=0y+4​−4=0.2. We need to solve for yyy.

STEP 2

First, we isolate the square root term on one side of the equation.y+4=4\sqrt{y+4} = 4y+4​=4

STEP 3

Next, we square both sides of the equation to eliminate the square root.(y+4)2=42(\sqrt{y+4})^2 = 4^2(y+4​)2=42

STEP 4

Calculate the squares on both sides of the equation.y+4=16y+4 = 16y+4=16

STEP 5

Now, we isolate the variable yyy by subtracting 4 from both sides of the equation.y=16−4y = 16 - 4y=16−4

STEP 6

Calculate the value of yyy.y=12y = 12y=12The solution for yyy is y=12y = 12y=12.

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Question Solve for y: $\sqrt{y+4}-4=0$

Assumptions
1. We are given the equation $\sqrt{y+4}-4=0$ .
2. We need to solve for $y$ .

First, we isolate the square root term on one side of the equation.
$\sqrt{y+4} = 4$

Next, we square both sides of the equation to eliminate the square root.
$(\sqrt{y+4})^2 = 4^2$

Calculate the squares on both sides of the equation.
$y+4 = 16$

Now, we isolate the variable $y$ by subtracting 4 from both sides of the equation.
$y = 16 - 4$

Calculate the value of $y$ .
$y = 12$
The solution for $y$ is $y = 12$ .