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
$\rho = 25 - 4 \times 1 \times 2 = 17$
Thus
$x = \frac{ - 5 \pm \sqrt{17} }{2}$

Answer 2

Answer:

$x=\frac{-5+\sqrt{17}}{2}$ and $x=\frac{-5-\sqrt{17}}{2}$

Step-by-step 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

$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$

Plug in the values and find out x

$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$

$x=\frac{-5+-\sqrt{5^2-4(1)(2)}}{2(1)}$

$x=\frac{-5+-\sqrt{17}}{2}$

$x=\frac{-5+\sqrt{17}}{2}$ and $x=\frac{-5-\sqrt{17}}{2}$