BEST ANSWER

musiclover10045

Use the quadratic formula -b+/-√b^2 -4(ac) / 2a

-4 +/- √(4^2 - 4(1*10) / (2*1)

X = -2 +/- i√6

wegnerkolmp2741o

Answer:

x = -2 ±i sqrt(6)

Step-by-step explanation:

x^2 +4x+10 = 0

We will complete the square

Subtract 10 from each side

x^2+4x +10-10 = -10

x^2+4x= -10

b = 4

Take b/2 and then square it

4/2 = 2 2^2 = 4

Add 4 to each side

x^2+4x+4= -10+4

The left side is rewritten as (x+b/2)^2

(x+2)^2 = -6

Take the square root of each side

sqrt((x+2)^2) = sqrt (-6)

x+2 = ±i sqrt(6)

Subtract 2 from each side

x+2-2 = -2 ±i sqrt(6)

x = -2 ±i sqrt(6)