Use the technique of completing the square

May 2010
43
0
Hi guys could someone help with this question?

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.

6x2 + 36x + 18 = 0
 
May 2010
20
8
\(\displaystyle 6x^2+36x+18=0\)
\(\displaystyle 6x^2+36x+54-36=0\)
\(\displaystyle 6x^2+36x+54=36\)
\(\displaystyle 6(x^2+6x+9)=36\)
\(\displaystyle 6(x+3)^2=36\)
\(\displaystyle (x+3)^2=6\)
 
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