SOLUTION: Solve by completing the square. x� = 5x + 2

Question 172883: Solve by completing the square.
x� = 5x + 2
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Subtract 5x from both sides.

Take half of the x coefficient 5 to get . Square that value to get

Add to both sides.

Combine like terms.

Factor to get

Take the square root of both sides.

or Break up the "plus/minus" to form two equations.

or Simplify the square root.

or Add to both sides.

or Combine the fractions.

--------------------------------------

Answer:

So the solutions are or .

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Arrange your equation so that the variables are on the left and the constant term is on the right:

=>

Step 2: Divide both sides by the coefficient on the 2nd order term. In this case the coefficient is 1, so you can ignore this step.

Step 3: Divide the coefficient on the 1st order term by 2 and then square the result.

Step 4: Add the result of Step 3 to both sides of the equation

Step 5: You have now created a perfect square trinomial on the left. Factor it

Step 6: Take the square root of both sides remembering to consider both the positive and negative roots

or

or

Those are the exact answers. You can use a calculator if you need numerical approximations
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