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

Solutions to the equation are
`=(-5+/-√(17) )/(2)`

which agrees with the last option listed among the possible answers

Explanation:

We solve this quadratic equation via the quadratic formula:

`x^2+5x=-2\\x^2+5x+2=0\\ \\x=(-5+/-√(25-4(1)(2)) )/(2\,(1)) \\x=(-5+/-√(17) )/(2)`