Question

HELP PLZ

Which are the solutions of x2 = –7x – 8?
StartFraction 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction StartFraction negative 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction negative 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction StartFraction 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 17 EndRoot Over 2 EndFraction StartFraction negative 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction negative 7 + StartRoot 17 EndRoot Over 2 EndFraction

Answer 1

Answer: option D.

Step-by-step explanation:got a 100 on it

Answer 2

`x=(-7-√(17))/(2)\textrm{ or }x=(-7+√(17))/(2)`

Explanation:

Given:

The equation is given as:

`x^2=-7x-8`

Rearrange the above equation in standard quadratic equation of the form
`ax^2+bx+c=0`

Adding
`7x + 8` on both sides, we get

`x^2+7x+8=0`

Here,
`a=1,b=7,c=8`

Now, we solve this using quadratic formula,

`x=(-b\pm √(b^2-4ac))/(2a)\\x=(-7\pm √(7^2-4(1)(8)))/(2(1))\\x=(-7\pm √(49-32))/(2)\\x=(-7\pm √(17))/(2)\\\\\\\therefore x=(-7-√(17))/(2)\textrm{ or }x=(-7+√(17))/(2)`