Question

Solve the equation below by completing the square and then solving for x.2 + 14x + 24 = 0A. X=-12 or x= -2B. x=2 or x=-2C. X=-2 or x=-5D. X= 8 or x= 3

Answer 1

2x^2 + 14x + 24 = 0

x^2 + 7x + 12 = 0

Then

x^ + (14/2) x + 12 + [7x + 49 ] = 7x + 49

Now form square

[ x + 7x + 7x + 49 ] = 7x + 49 - 12

[ x + 7]^2 = 7x + 37

Then now find x

x^2 + 7x = -6

x^2 + 7x + 7^2/4 = 7^2/4 - 6

then

( x + 7/2)^2 = 49/4 - 24/4

(x + 7/2) = ±√ (25/4)

. x = 5/2 - 7/2

and. x = 5/2 + 7/2

Then solutions are

x = -2

x= -12

ANSWER IS

OPTION A