SOLUTION: solve the quadratic equation x squared+4x-5=0 by completing squares. {{{x^2 + 4x - 5 = 0}}}

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Question 4350: solve the quadratic equation x squared+4x-5=0 by completing squares.

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
Begin by adding 5 to each side to set up the "completing the square" process.





Take half of the 4 and square, which is 2 squared, or 4. Add 4 to each side of the equation to create a perfect square trinomial on the left side.




Take the square root of both sides:



Subtract 2 from each side:



In the first case, x = -2 + 3 = 1
In the second case, x = -2 - 3 = -5

Check answers:
For x = 1,
For x = -5,

Both answers check!

R^2 at SCC

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