Question

Complete the square to solve the equation: x^2+6x=-7

Answer 1

what is half of \(6\) ?

Answer 2

3

Answer 3

ok good
then write
\[(x+3)^2=-7+?\] now what is \(3^2\) ?

Answer 4

9

Answer 5

right
so it is
\[(x+3)^2=-7+9\] or \[(x+3)^2=2\]

Answer 6

take the square root of both sides, get
\[x+3=\pm\sqrt2\] then subtract \(3\)to finish with
\[x=-3\pm\sqrt2\]

Answer 7

Thank you