Does anyone know what factor this would be?
X^2+4X+24
Thank you.
2007-01-19 09:33:31 · 9 answers · asked by alphaaxl 1 in Education & Reference ➔ Homework Help
The original problem was
√2X-3 - √x-2 = 1
...and in my book through steps it got to that...which I have no idea how to factor.
2007-01-19 09:40:19 · update #1
apply the quadratic formula:
...........__________
-4 +/- /16+4(2)(24)
2x2
=
..........____
-4+/- /208
2x2
=
-4+/- 14.4222
2x2
=
-18.222/4 or 10.4222/4
=
-4.60555 or 2.60555
2007-01-19 10:00:29 · answer #1 · answered by bazz2202 3 · 1⤊ 0⤋
First step is get all terms on the left by subtracting 24 from each side -- setting the equation equal to zero. x² - 2x - 24 = 0 Some equations can be factored easily, for others use the quadratic equation. Think of 2 numbers whose product is 24 and differ by 2 (from the 2x) Don't worry about signs yet. The numbers are 6 and 4. [If you can't think of any, time for the quadratic equation.] (x - 6)(x + 4) = 0 Since -24 is negative, you know one factor is + and one -. Since -2x is negative, you know the larger factor will be -.
2016-05-23 22:37:08 · answer #2 · answered by ? 4 · 0⤊ 0⤋
You cannot factor this one (at least not with rational numbers). The reason is bacause there are no combination of numbers which when multiplied together equal 24, and also when added or subtracted (or combination of adding and subtracting) equal 4...
If it were x^2 + 12x + 24, you could use the factors of 3 and 8 and would be (x+3)(x+8) = x^2 + 12x + 24...
Check you equation again. If you wrote it correctly, give the answer as "unfactorable".
Good luck.
2007-01-19 09:45:58 · answer #3 · answered by Dude98328 2 · 0⤊ 0⤋
Can't be factored. To find the answer, you would have to have something that added together to give you 4...but multiplied together to give you 24...the only numbers to do this are +2, +4, +6, +8, and +12...none of which add together to give you 4 AND multiply together to give you 24.
2007-01-19 09:40:02 · answer #4 · answered by Brandon W 5 · 0⤊ 0⤋
that will not factor evenly, you will have to use the quadratic formula. although i'm not sure how you determined x^2+4x+24 from the original problem
2007-01-19 09:43:52 · answer #5 · answered by soulcrusher90@ameritech.net 1 · 0⤊ 0⤋
factor 24: 1x24, 2x12, 3x8, 4x6
do any of these factor pairs, when added together or subtracted from each other equal +/-4? No.
To factor this equation, you must use the quadratic equation.
2007-01-19 09:39:13 · answer #6 · answered by Your Best Fiend 6 · 0⤊ 0⤋
The answer is imaginary.
X^2+4X+24
-4+or-rad.-80 all divided by 2
-4+or-rad.80i(the i is outside the rad.) all divided by 2
-4+or-4rad.5i(the i is outside the rad.) all divided by 2
-2+or-2rad.5i(the i is outside the rad.)
2007-01-19 09:41:09 · answer #7 · answered by CC 2 · 0⤊ 0⤋
are you sure this is the right question? there are no numbers that multiply to get 24 and also add up to be 4. Check your numbers again.
2007-01-19 09:39:08 · answer #8 · answered by julie_ramrattan2003 3 · 0⤊ 1⤋
Are you sure you typed this correctly?
2007-01-19 09:37:12 · answer #9 · answered by ecolink 7 · 0⤊ 1⤋