Question

ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!

Answer 1

Answer:

C x =  (-5+sqrt(-3))/2

D x = ( -5-sqrt(-3))/2

Step-by-step explanation:

Set the polynomial equal to zero

x^2 + 5x+7 =0

Subtract 7 from each side

x^2 + 5x+7-7 =-7

x^2 + 5x = -7

Complete the square by taking the coefficient of x and dividing by 2 and then squaring it

(5/2)^2 = 25/4

x^2 + 5x + 25/4 = -7+25/4

(x+5/2)^2 = -28/4 +25/4

(x+5/2)^2 = -3/4

Take the square root of each side

x+5/2 = ±sqrt(-3/4)

Subtract 5/2 from each side

x+5/2 -5/2 = -5/2±sqrt(-3/4)

x =  -5/2±sqrt(-3/4)

x =  -5/2±sqrt(-3)/2

x =  (-5±sqrt(-3))/2