Solve x^2 +12x + 6 = 0 using the completing-the-square method.
a. x = negative six plus or minus the square root of thirty
b. x = six plus or minus the square root of thirty
c. x = negative six plus or minus the square root of six d. x = six plus or minus the square root of six

Question

Solve x^2  +12x +  6 = 0 using the completing-the-square method.  
a. x = negative six plus or minus the square root of thirty 
b.  x = six plus or minus the square root of thirty 
c.  x = negative six plus or minus the square root of six  d. x = six plus or minus the square root of six

welshfella · Answer

divide the coefficient of x (  that is 12) by 2  to give (x + 6)^2
 x^2  +12x +  6 = 0
(x + 6)^2 - 36 + 6 = 0
(x + 6)^2 - 30 = 0
(x + 6)^2 = 30
can you continue?