Question

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a. 2x2 + 32x + 12 = 0

Answer 1

\[2x^2+32x+12=0\] to complete the square you need the leading coefficient to be 1, so divide everything by 2 and get
\[x^2+16x+6=0\]
subtract 6 from both sides to get
\[x^2+16x=-6\] and now "complete the square
half of 16 is 8 and \(e^2=64\)
you write
\[(x+8)^2=-6+64=58\]

Answer 2

i meant "half of \(16\) is \(8\) and \(8^2=64\)"

Answer 3

thx

Answer 4

yw