How do you solve using the completing the square method x2+6x+7=0?

1 Answer
Jim G.
Mar 31, 2017

x1≈−1.6,x2≈−4.4 to 1 dec. place

Explanation:

To use the method of completing the square

∙ add ( 1/2 coefficient of x-term)2 to both sides.

⇒x2+6x+32+7=0+32

⇒x2+6x+9=9−7

⇒(x+3)2=2

Take the square root of both sides

√(x+3)2=±√2

⇒x+3=±√2

⇒x1=√2−3≈−1.6 to 1 dec. place

⇒x2=−√2−3≈−4.4 to 1 dec. place

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