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Mathematics 8 Online
OpenStudy (anonymous):

j

OpenStudy (anonymous):

PLEASE HELP ME!!!

Directrix (directrix):

The x-intercepts are where the graph cuts the x-axis. To get on the x-axis, the y-coordinate has to be 0. So, take y = -x^2 + 12x - 28 y = -x^2 + 12x - 28 and set y = 0. 0 = -x^2 + 12x - 28 x^2 - 12x + 28 = 0 Will the expression factor?

OpenStudy (anonymous):

Is this quadratic formula or completing the square? And idk! I'm horrible at math! I wish I understood it better, but I just don't..

Directrix (directrix):

>Is this quadratic formula or completing the square? Neither. Those are techniques to find the roots (x-intercepts). The stuff above is getting the equation ready to be solved.

OpenStudy (anonymous):

Okay... so now that the equation is ready to be solved.. how do I go about solving it?

Directrix (directrix):

The first thing I do is to see if the expression will factor: x^2 - 12x + 28 = 0 Will it?

OpenStudy (anonymous):

No?

Directrix (directrix):

Okay. Let's use the Quadratic Formula to crank out the roots.

OpenStudy (anonymous):

Okay.

OpenStudy (anonymous):

Why not the completing the square one, why is the quadratic formula the better way to go in this case?

Directrix (directrix):

Completing the square is fine. It is how the Quadratic Formula was created. Do you want to complete the square?

OpenStudy (anonymous):

No, we can just do what you originally said, the quadratic formula. I was just wondering. Carry on, sorry.

Directrix (directrix):

y = -x^2 + 12x - 28 0 = -x^2 + 12x - 28 a = -1 b = 12 c = -28

Directrix (directrix):

What comes next?

OpenStudy (anonymous):

I'm not sure..

OpenStudy (anonymous):

x^2-12+36-8=0 (x-8)^2-8=0 x=2sqrt2+8 or x=-2sqrt2+8

OpenStudy (anonymous):

typo..

OpenStudy (anonymous):

(x-6)^2-8=0 x=2sqrt2+6 or x=-2sqrt2+6

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