Question

Which of the following is a solution of x2 + 5x = −2? (2 points) 5 plus or minus the square root of 33 divided by two. 5 plus or minus the square root of 17 divided by two negative 5 plus or minus the square root of 33 divided by two. negative 5 plus or minus the square root of 17 divided by two.

Answer 1

The easiest way it to solve it.

`{x}^(2) + 5x + 2 = 0`
You have

`\rho = 25 - 4 * 1 * 2 = 17`
Thus

`x = ( - 5 \pm √(17) )/(2)`

Answer 2

`x=(-5+√(17))/(2)` and
`x=(-5-√(17))/(2)`

Explanation:

`x^2 + 5x = -2`

To solve for x, make right hand side 0

Add 2 on both sides.

`x^2 + 5x +2=0`

Apply quadratic formula to solve for x

a=1, b=5, c= 2

`x=(-b+-√(b^2-4ac))/(2a)`

Plug in the values and find out x

`x=(-b+-√(b^2-4ac))/(2a)`

`x=(-5+-√(5^2-4(1)(2)))/(2(1))`

`x=(-5+-√(17))/(2)`

`x=(-5+√(17))/(2)` and
`x=(-5-√(17))/(2)`