Question

Solve the quadratic equation by completing the square.

Answer 1

Answer: x= 4 ± $\sqrt{-3}$

Step-by-step explanation:

$x^{2}$ + 8x + 19 = 0     First subtract 19 from both sides

             -19    -19

$x^{2}$ + 8x           =  -19    Now to complete the square on the left side you will divide 8 by 2 and square the number that you will get and add it to both sides. If you divide 8 by 2 you get 4 and  4 squared is 16 .So add 16 to both sides.

x^2 + 8x + 16 = -19 + 16  Now factor the left side

(x+4)^2 = -3    Take the square root of both sides

(x+4) = ±$\sqrt{-3}$        

Subtract 4 from both sides

x = ±$\sqrt{-3} - 4$