anonymous
  • anonymous
By factoring how do you solve 3x^2/3-11x^1/3-4=0? My teacher doesn't do substitution. please and thank you.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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cwrw238
  • cwrw238
(3x^1/3 + 1)(x^1/3 - 4 ) = 0
cwrw238
  • cwrw238
can you continue?
cwrw238
  • cwrw238
3x^1/3 + 1 = 0 x^(1/3) = -1/3 x^1/3 - 4 = 0 x^1/3 = 4

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anonymous
  • anonymous
let me see...
cwrw238
  • cwrw238
hint: x = x(1/3)^3
anonymous
  • anonymous
(-1/3)^3 or (1/3)^3?
cwrw238
  • cwrw238
sorry - i didn't write it corruptly (x^(1/3)^ 3 = x^(1/3 * 3) = x^1 = x or in other words you have the cube root of and you cube it - that gives you x so if you cube both sides of the equations you get the value of x e g (x^(1/3)^ 3 =( -1/3)^3 so x = - 1/3^3 = -1/27 thats one of the roots
cwrw238
  • cwrw238
* correctly
anonymous
  • anonymous
Thank you so much.
cwrw238
  • cwrw238
note x^(1/3) is same as cube root x
cwrw238
  • cwrw238
so to find other root you do same thing with x^1/3 = 4
cwrw238
  • cwrw238
yw
anonymous
  • anonymous
Thank you again. But do you divide x^1/3=4? Like 4/1=4.
cwrw238
  • cwrw238
just cube both sides of th equation as we did to the first one (x^(1/3)^3 = x 4^3 = 4*4*4 = 64 x = 64
cwrw238
  • cwrw238
i suggest you review the laws of indices x^a + x^b = x^(a+b) x^a / x^b = x^(a-b) (x^a)^b = x^(a*b) = x^ ab
cwrw238
  • cwrw238
also |dw:1342632977864:dw|
cwrw238
  • cwrw238
please ask if you need any more help
anonymous
  • anonymous
Thank you so much.
cwrw238
  • cwrw238
yw
anonymous
  • anonymous
Could you please help with another problem?

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