Question

Which of the following is a solution of x2 + 5x = -2

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

You can take the x out of the equation.\[x(x+5)=-2 \] \[x=-2 and x+5=-2 x=-7\]

Answer 2

I don't know where you are getting square roots from.

Answer 3

Im assuming the x2 is x^2

Answer 4

\[\frac{ 5\pm \sqrt{33} }{ 2 }\]

\[\frac{ 5\pm \sqrt{17} }{ 2 }\]

\[\frac{ *5\pm \sqrt{33} }{ 2 }\]

\[\frac{ -5\pm \sqrt{17} }{ 2 }\]

Answer 5

yes the x2 is x^2, and i just put more detailed answers to help

Answer 6

@nfcfox

Answer 7

Kinda looks like they used the quadratic formula.

Answer 8

As it cannot be factored.

Answer 9

Let me evaluate.

Answer 10

Okay

Answer 11

and yes it deals with the quadratic formula

Answer 12

So let's add the 2. Our equation is now \[x ^{2} +5x+2=0\]

Answer 13

Okay im following

Answer 14

Now would we insert this into the quadratic formula?

Answer 15

The quadratic formula is: \[(b \pm \sqrt{b ^{2}-4ac})/2a\]

Answer 16

Where b is the middle term, a is the first, and c is the third.

Answer 17

okay, and so i insert the data that we have into the formula correct?

Answer 18

Yes
B: 5
A: 1
C: 2

Answer 19

Tell me if you figured it out.

Answer 20

\[\frac{ 5\pm \sqrt{5^2-4(2)} }{ 2 }\]

Answer 21

and then i simplify...

Answer 22

Yep.

Answer 23

\[\frac{ 5\pm \sqrt{25-8} }{ 2}\]

\[\frac{ 5\pm \sqrt{17} }{ 2 }\]

Answer 24

which gives me B

Answer 25

Thanks so much!!