SOLUTION: Please show me how to work out this quadratic equation by completing the square m^2 = 8m + 3

Question 170121: Please show me how to work out this quadratic equation by completing the square
m^2 = 8m + 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Get all terms to the left side.

Now let's complete the square:

Start with the left side of the equation.

Take half of the coefficient to get . In other words, .

Now square to get . In other words,

Now add and subtract . Make sure to place this after the "m" term. Notice how . So the expression is not changed.

Group the first three terms.

Factor to get .

Combine like terms.

So after completing the square, transforms to . So .

So is equivalent to .

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

Start with the given equation.

Add to both sides.

Combine like terms.

Take the square root of both sides.

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

or Add to both sides.

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

Answer:

So the solutions are or

which approximate to or
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