SOLUTION: Can you please help show me how to solve this quadratic equation by completing the square w^2

SOLUTION: Can you please help show me how to solve this quadratic equation by completing the square w^2 - 5w = 14

Question 169986: Can you please help show me how to solve this quadratic equation by completing the square
w^2 - 5w = 14
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Take half of the "w" coefficient -5 to get . Now square to get . Add this value to both sides

Add to both sides

Combine like terms.

Multiply EVERY term by the LCD 4 to clear the fractions

Multiply and simplify

Factor to get

Take the square root of both sides

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

or Take the square root of 81 to get 9

or Add 5 to both sides

or Combine like terms.

or Divide both sides by 2 to isolate "w"

or Divide

So the answers are or

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