SOLUTION: solve the following equation by completeing the square x2+3x=5

Question 134326This question is from textbook beginning algebra
: solve the following equation by completeing the square
x2+3x=5 This question is from textbook beginning algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Take half of the x coefficient to get (ie ).

Now square to get (ie )

Now add and subtract this value on the left side. Doing both the addition and subtraction of does not change the equation

Now factor to get

Add to both sides

Combine like terms

Take the square root of both sides

Simplify

Subtract from both sides

Combine the fractions

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Answer:

So our solutions are

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