SOLUTION: Hello. Use completing the square to solve each equation: x^2

SOLUTION: Hello. Use completing the square to solve each equation: x^2 - 4x + 30 = 0 thanks!

Question 189933: Hello.
Use completing the square to solve each equation:
x^2 - 4x + 30 = 0
thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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 "x" 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 .

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Start with the given equation.

Subtract from both sides.

Combine like terms.

Take the square root of both sides.

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

or Simplify the square root. Note:

or Add to both sides.

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

Answer:

So the solutions are or .

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