Question 1173138: please help
Solve the quadratic equation by completing the square.
x^2+6x+7=0
Round your answer to the nearest hundredth. Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! --------------------------------------------------
Solve the quadratic equation by completing the square.
x^2+6x+7=0
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You start with
x^2 + 6x + 7 = 0
The term 6x says you that the expected square term should be {x+3)^2 = x^2 + 6x + 9
So we add 2 to both sides
x^2 + 6x + 7 + 2 = 2, or
x^2 + 6x + 9 = 2.
In the left side you just have the desired square:
{x + 3)^2 = 2.
Now take the square root from both sides
x + 3 = +/-
Your last step is to move 3 from the left side to the right, changing the sign
x = -3 +/- .
The problem is just solved.
ANSWER. The given equation has two roots x = -3 + and x = -3 - .
So, we solved the equation by completing the square method.
My congrats, if you learn it for the first time (!)
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