Pls
which of the following is a solution of x2 + 2x + 8? (1 point)
4 + i times the square root of 7
−1 + i times the square root of 7
2 + i times the square root of 7
−4 + i times the square root of 7

B

Step-by-step explanation:

Given

x² + 2x + 8 ( to find the solutions equate to zero )

x² + 2x + 8 = 0 ( subtract 8 from both sides )

x² + 2x = - 8

To solve we can use the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 8 + 1

(x + 1)² = - 7 ( take the square root of both sides )

x + 1 = ± = ± i

Subtract 1 from both sides )

x = - 1 ± i

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2