Question

Solve for x in the equation x2 + 14x+17--96

x=-7+4/6;

x=-7 + 8i

x=7+4/6;

x = 7 + 8i

Answer 1

B. -7 +or- 8i

Explanation:

Answer 2

Option B.

Explanation:

If a quadratic equation is defined as
`ax^2+bx+c=0`, the by quadratic formula

`x=(-b\pm √(b^2-4ac))/(2a)`

Consider the given equation is

`x^2+14x+17=-96`

We need to find the value of x.

Add 96 on both sides.

`x^2+14x+17+96=-96+96`

`x^2+14x+113=0`

Here, a=1, b=14 and c=113. Using quadratic formula we get

`x=(-14\pm √(14^2-4(1)(113)))/(2(1))`

`x=(-14\pm √(-256))/(2(1))`

`x=(-14\pm √(256)√(-1))/(2)`
`(√(-1)=i)`

`x=(-14\pm 16i)/(2)`

`x=-7\pm 8i`

The value of x are x=-7 + 8i and x=-7 - 8i.

Therefore, the correct option is B.