Question

What are the exact solutions of x2 + 5x + 1 = 0? (5 points)

x = the quantity of 5 plus or minus the square root of 21 all over 2
x = the quantity of negative 5 plus or minus the square root of 21 all over 2
x = the quantity of 5 plus or minus the square root of 29 all over 2
x = the quantity of negative 5 plus or minus the square root of 29 all over 2

Answer 1

B

Explanation:

The quantity of 5 plus or minus the square root of 21 all over 2.

FURTHER EXPLANATION: I took the practice test and got it right.

Answer 2

`x=(-5\pm√(21) )/(2)`

Explanation:

We use the quadratic formula here which says for a quadratic equation
`ax^2+bx+c=0`.

`x= (-b\pm√(b^2-4ac) )/(2a)`

Now in our case

`a=1\\b=5\\c=1`

so we have:

`x=(-5\pm√(5^2-4(1)(1)) )/(2(1)) =(-5\pm√(21) )/(2)`

`\boxed{x=(-5\pm√(21) )/(2) }`

Which are our solutions.