SOLUTION: Solve by completing the square.
4x + 2 = x^2
Algebra.Com
Question 156693This question is from textbook Algebra 1 An Incremental Development
: Solve by completing the square.
4x + 2 = x^2
This question is from textbook Algebra 1 An Incremental Development
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Subtract from both sides
Rearrange the terms.
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So let's complete the square for
Start with the given expression.
Factor out the coefficient . This step is very important: the coefficient MUST be equal to 1.
Take half of the coefficient to get . In other words, .
Now square to get . In other words,
Now add and subtract inside the parenthesis. 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.
Distribute.
Multiply.
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.
Divide both sides by .
Reduce.
Take the square root of both sides. Note: remember the "plus/minus"
or Break up the "plus/minus" to form two equations.
or Add to both sides.
--------------------------------------
Answer:
So the solutions are or .
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