Solve this quadratic equation by completing the square
x^2+6x=18

( x + 3 )² - 27

Step-by-step explanation:

x² + 6x = 18

→ Minus 18 from both sides to get a quadratic equation

x² + 6x - 18

⇒Completed square from is ( x + a )² + b

⇒The value of 'a' will always be half the 'b' value in the equation

ax² + bx + c

→( x + 3 )² + b

Expand out the equation to find 'b'

x² + 6x + 9

We have do something to get from 9 to - 18 which -27

So the answer is ( x + 3 )² -27

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d