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Mathematics 14 Online
MsBrains (ms-brains):

Help me with two questions please? (This is not a test) http://prntscr.com/b2yvdq

OpenStudy (erak):

For the first one, isolate for x by moving the 9 over and taking the square root of it. You should get two numbers.

OpenStudy (erak):

That would be using the inverse operations. For the second one, use the quadratic formula.

MsBrains (ms-brains):

\[x^2=9\] +9 +9 \[x=\sqrt{9,-9}\] x*x=9 sqare root of 9 is 3 \[x=3,-3\] For number one ^ that is correct, right?

Directrix (directrix):

The answers are correct but the work is off a bit. x^2 = 9 x = +/- √9 x = +3 or -3 --------------

MsBrains (ms-brains):

What you wrote is the correct work? I don't understand the second part. x = +/- √9

Directrix (directrix):

The technique is the square root of both sides. http://www.coolmath.com/algebra/09-solving-quadratics/04-solving-quadratic-equations-square-root-01

Directrix (directrix):

I did the problem that way because the other helper began that way. Here is how I would do the problem.

Directrix (directrix):

x^2 - 9 = 0 Factor the difference of the two squares (x + 3) * (x - 3) = 0 Zero Product Property x + 3 = 0 or x -3 = 0 x = -3 or x = 3 So, 3 and -3.

Directrix (directrix):

Here is how the Zero Product Property looks:

MsBrains (ms-brains):

Ah. Okay. Thank you! ^-^

Directrix (directrix):

You are welcome. Have you done the second problem?

MsBrains (ms-brains):

Not yet. Gimme 1 moment

MsBrains (ms-brains):

For the second one, using the quadratic formula, I know a=1,b=4 and c=2 but I don't know how to solve it..

MsBrains (ms-brains):

or show my work..

Directrix (directrix):

x² + 4x + 2 = 0 will not factor. The Quadratic Formula is necessary to get the answers.

Directrix (directrix):

Attached is a copy of the formula.

Directrix (directrix):

In x² + 4x + 2 = 0, a = 1 b = 4 and c = 2 Does that make sense, @Ms-Brains

MsBrains (ms-brains):

Yup.

MsBrains (ms-brains):

http://prntscr.com/b2zqja Like this?

MsBrains (ms-brains):

@Directrix

Directrix (directrix):

Just a second while I check.

Directrix (directrix):

√2 - 2 and - √2 - 2 Yes.

Directrix (directrix):

I got what you did. I just put the radicals first for some reason.

MsBrains (ms-brains):

Thanks for all the help. o.o

Directrix (directrix):

Anytime.

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