Question

Solve: x2+2x+17= 0

C

A

B

C

D x=1+4/ or x = 1-4i

x =- 1+4/ or x =- 1-4/

X =- 1+8/ or x =- 1-8/

x=1+8/ or x=1-8/

yn

(

x!

)

7

4

8

5

-

1

0

2

9

6

3

.

+/_

y=a(x-h)'+k

y=ax2+bx+c

b
X ==
2a

ax2+bx+c= 0

-b± vb2-4ac
X=

2a

Answer 1

Use the quadratic formula x = (-b ± √(b^2 − 4ac)) / (2a) with a=1, b=2, c=17.

Discriminant: b^2 − 4ac = 4 − 68 = −64, so √(−64) = 8i.

x = (−2 ± 8i)/2 = −1 ± 4i.

So the solutions are x = −1 + 4i and x = −1 − 4i (the choice showing −1 ± 4i).