Another way to do it, without having to guess-and-check: first complete the square, x² - 2x - 48 = (x - 1)² - 49. This is a difference of squares, so it's easy to factor: ( (x - 1) + 7) ( (x - 1) - 7). So the end result is (x + 6) (x - 8). May take a bit longer at first, but if one is used to completing the square, it's quite fast.
@christopherellis2663 I would love to respond to your comment, but I'm not sure I understand it! Please feel free to further explain your comment/critique/addition/quip ;)
@@helpwithmathing He's describing a technique that involves manipulation of the Viscous & Resinous Fluids. Unfortunately, this method only works if it's performed on a Moonless night at a crossroads.
While you do have some fun facts, the methods are too slow for practical application. Speed and experience is what should be taught after the basic understandings are demonstrated. It is lightening fast to just use the quadratic equation in your head. In the class test, you have to "Show your work." So yes we can play the games with the x and factor method for the teacher. But at work the quadratic is all you need to apply. In electronics, road work, engineering, etc., because the answers are usually complex, thise methods are seldom used.
i bet out teacher knew it as well but as it were not curriculum it was not on the menu :)
@rivenoak glad I could offer it then
Another way to do it, without having to guess-and-check: first complete the square, x² - 2x - 48 = (x - 1)² - 49. This is a difference of squares, so it's easy to factor: ( (x - 1) + 7) ( (x - 1) - 7). So the end result is (x + 6) (x - 8). May take a bit longer at first, but if one is used to completing the square, it's quite fast.
@bjornfeuerbacher5514 YES! LOVE IT!
6 minus 8 is minus eight. There is no electromagnetic field involved.
@christopherellis2663 I would love to respond to your comment, but I'm not sure I understand it! Please feel free to further explain your comment/critique/addition/quip ;)
meth minus coke = this comment.
@baselinesweb this made me literally laugh out loud: thank you for the morning chuckle!
@@helpwithmathing He's describing a technique that involves manipulation of the Viscous & Resinous Fluids. Unfortunately, this method only works if it's performed on a Moonless night at a crossroads.
@Pootycat8359 you folks are making my days over here. Thank you for the chuckles!
While you do have some fun facts, the methods are too slow for practical application. Speed and experience is what should be taught after the basic understandings are demonstrated. It is lightening fast to just use the quadratic equation in your head. In the class test, you have to "Show your work." So yes we can play the games with the x and factor method for the teacher. But at work the quadratic is all you need to apply. In electronics, road work, engineering, etc., because the answers are usually complex, thise methods are seldom used.
@markmurto you are entirely correct! The Quadratic Formula is best for solving quadratics in the course of your work. Carry on.
@markmurto. th-cam.com/video/sP6g9GwXLgU/w-d-xo.html
@helpwithmathing Had no doubt that you know the quadratic equation. .I believe you are quite brilliant.
@markmurto well thank you kindly sir!
XX - 2X - 48
* 48 =3x16=4x12=6x8
8 - 6 = 2 = (b)
**. 8: 8x8 - 2x8 - 48
64 -16 - 48 = 0
** 6: 6x6 - 2x6 - 48
36 - 12 - 48 # 0
-6: 36 + 12 - 48 = 0
*** X' = 8 ,X" = - 6 ./.