Question

Create a list of steps, in order, that will solve the following equation.
1/4(x+5)^2-1=3

Answer 1

list of steps:

• Add 1 on both sides
• Multiply both sides by 4
• Take the square root of both sides

• Subtract 5 from both sides,

Explanation:

In order, that will solve the following equation.

`\sf (1)/(4)(x+5)^2-1=3`

Add 1 on both sides

`\sf (1)/(4)(x+5)^2-1+1=3+1`

`\sf (1)/(4)(x+5)^2=4`

Multiply both sides by 4.

`\sf \sf (1)/(4)(x+5)^2* 4=4* 4`

`\sf (x+5)^2 = 16`

Take the square root of both sides

`\sf √((x+5)^2 )= √(16)`

`\sf (x+5) = 4`

Subtract 5 from both sides,

`\sf x+5-5 = 4 - 5`

`\sf x =-1`

Now,

Creating a list of steps:

• Add 1 on both sides
• Multiply both sides by 4
• Take the square root of both sides

• Subtract 5 from both sides,