Question

Create a list of steps, in order, that will solve the following equation.5(x-3)² + 4 = 129Solution steps:

Answer 1

We want to solve the equation

`5\cdot(x-3)^2+4=129`

To solve this equation, we must isolate the variable on one side of the equation. So, noticed that the term with the x has multiple things (it is raised to the second power, multiplied by five, etc) so we begin by subtracting 4 on both sides. (Step 1)

So we get

`5\cdot(x-3)^2=129\text{ -4 =125}`

Now we divide both sides by 5 (Step 2), so we get

`(x-3)^2=(125)/(5)=25`

now we take the square root on both sides (Step 3). Then we get

`\sqrt[]{(x-3)^2}=\sqrt[]{25}=5=x\text{ -3}`

Finally, we add 3 on both sides (Step 4). Then we get

`x=5+3=8`