please help!!!
2007-07-23 00:18:12 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I assume you mean 4 times 1/3x or do you mean 4 1/3x a mixed number. I will explain both.
2/3x - 4 x 1/3x = 12
2/3x - 4/3x = 12
Subtract
- 2/3x = 12
Clear the fraction. Multiply both sides of the equation by 3
3(- 2/3x) = 3(12)
- 2x = 36
Divide both sides of the equatio by - 2
- 2x / - 2 = 36 / - 2
x = 36 / - 2
x = - 18
- - - - - - - - - -
2/3x - 4 1/3x = 12
Convert the mixed number to a improper fraction. Multiply 3 times 4 equals 12 then add 1. The mixed number becomes 13/3x
2/3x - 13/3x = 12
subtract the left side of the equation
- 11/3x = 12
Clear the fraction. Multiply both sides of the equatiion by 3
3(- 11/3) = 3(12)
- 11x = 36
Divide both sides of the equation by - 11
- 11x / - 11 = 36 / - 11
x = 36 / - 11
x = - 3 3/11
- - - - - - - - -s-
2007-07-23 01:07:37 · answer #1 · answered by SAMUEL D 7 · 0⤊ 1⤋
Let y = x^(1/3)
Then you have y^2-4y=12. Subtract 12 from both sides. y^2-4y-12=0. Factor. (y-6)(y+2)=0. So y is 6 or -2.
Plug x^(1/3) in for y.
x^(1/3)=6. Cube both sides. x=216.
x^(1/3)=-2. cube both sides. X=-8.
You have 2 solutions: 216 and -8.
2007-07-23 00:27:38 · answer #2 · answered by Amy W 6 · 0⤊ 0⤋
let x^1/3 =y ,then y^2 - 4y -12=0 ,factorize
(y-6)(y+2)=0 then x =6^3 =216 ,or x =-8
2007-07-23 00:33:16 · answer #3 · answered by mramahmedmram 3 · 0⤊ 0⤋
x2/3 - 4x1/3 = 12
1/3(2x-4x) = 12
2x-4x = 12(3)
2x-4x = 36
-2x = 36
x = -18
2007-07-23 00:28:19 · answer #4 · answered by nikkiwahine 2 · 0⤊ 0⤋
you won't be able to remedy because of fact it extremely is not an equation, yet you may simplify. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ approach: long branch ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (x³ + 4x² - 3x - 12) / (x² - 3) = ? do no longer overlook to incorporate the assumed 0x once you positioned up the long branch. ................... x + 4 ................. ------------------------ x² + 0x - 3 ) x³ + 4x² - 3x - 12 .................. -x³ + 0x² + 3x .................. -------------------- .......................... 4x² + 0x - 12 ........................ -4x² + 0x + 12 ........................ ------------------- ......................................... + 0 answer: (x³ + 4x² - 3x - 12) / (x² - 3) = x + 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ approach: FACTORING ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ you do no longer truthfully could use long branch to simplify this polynomial. (x³ + 4x² - 3x - 12) / (x² - 3) = team the numerator. [(x³ + 4x²) + (-3x - 12)] / (x² - 3) = ingredient. [x²(x + 4) - 3x(x + 4)] / (x² - 3) = [(x² - 3)(x + 4)] / (x² - 3) = The (x² - 3)s cancel. [(a million)(x + 4)] / (a million) = x + 4 answer: (x³ + 4x² - 3x - 12) / (x² - 3) = x + 4 examine making use of long branch ….….… x² + 0x - 3 ------------------------------------- x + 4 ) x³ + 4x² - 3x - 12 ….… -x³ - 4x² ….… --------------- ….…….… + 0x² - 3x ….…...… + 0x² + 0x ….….…. --------------- ….……..…… - 3x - 12 ….……...…… + 3x + 12 ……........…. --------------- ….……..........…..… + 0 (x³ + 4x² - 3x - 12) / (x + 4) = x² - 3 genuine
2016-11-10 04:00:29 · answer #5 · answered by ? 4 · 0⤊ 0⤋
2x/3=12+4/3
2x/3=40/3
2x=40
x=20
2007-07-23 00:21:46 · answer #6 · answered by Anonymous · 0⤊ 0⤋
1. multiple formula by 3, you get: 2x - 4x = 36
2. union x, you get: -2x = 36
3. divide formula by 2, you get: x = - 18
2007-07-23 00:24:52 · answer #7 · answered by Anonymous · 0⤊ 0⤋