SOLUTION: solve equation by completing the square x^2 + x

SOLUTION: solve equation by completing the square x^2 + x - 5 = 0

Question 134476: solve equation by completing the square
x^2 + x - 5 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Add to both sides

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

Now square to get (ie )

Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of does not change the equation

Now factor to get

Multiply

Now add to both sides to isolate y

Combine like terms

Now to solve for x, let

Add to both sides

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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