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

Answer:

Solutions to the equation are $=\frac{-5+/-\sqrt{17} }{2}$

which agrees with the last option listed among the possible answers

Step-by-step explanation:

We solve this quadratic equation via the quadratic formula:

$x^2+5x=-2\\x^2+5x+2=0\\ \\x=\frac{-5+/-\sqrt{25-4(1)(2)} }{2\,(1)} \\x=\frac{-5+/-\sqrt{17} }{2}$