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

Create A List Of Steps In Order That Will Solve The Following Equation5x3 4 129Solution Steps class=

Sagot :

We want to solve the equation

[tex]5\cdot(x-3)^2+4=129[/tex]

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

[tex]5\cdot(x-3)^2=129\text{ -4 =125}[/tex]

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

[tex](x-3)^2=\frac{125}{5}=25[/tex]

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

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

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

[tex]x=5+3=8[/tex]

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