anonymous
  • anonymous
How would you solve the given equation?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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mathstudent55
  • mathstudent55
Is the fraction 1/3 the exponent of x?
anonymous
  • anonymous
Not sure, I honestly don't understand at all. here are the multiple choice answers if it helps? But I need the explanation on how to do it.
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mathstudent55
  • mathstudent55
I don't understand how that problem can have those answers.
mathstudent55
  • mathstudent55
The equation looks like this to me. \(\Large x - 7x^{\frac{1}{3}} + 6 = 0\)
anonymous
  • anonymous
Yea same here but not, but I don't know what the "-" sign is suppose to be?
mathstudent55
  • mathstudent55
To solve this equation (assuming this is the correct equation), Move the exponent term to the right, and cube both sides.
mathstudent55
  • mathstudent55
\(\Large x - 7x^{\frac{1}{3}} + 6 = 0\) \(\Large x + 6 = 7x^{\frac{1}{3}}\) \(\Large (x + 6)^3 = (7x^{\frac{1}{3}})^3\) \(\Large (x + 6)^3 = 343x\) \(\Large (x + 6)(x^2 + 12x + 36) = 343x\) \(\Large x^3 + 12x^2 + 36x + 6x^2 + 72x + 216 = 343x\) \(\Large x^3 + 18x^2 + 108x + 216 = 343x\) \(\Large x^3 + 18x^2 - 235x + 216 = 0\)
anonymous
  • anonymous
\[7x ^{\frac{ 1 }{ 3 }} = x+6\]\[343x = x^3+18x^2+108x+216\]\[x^3+18x^2-235x+216=0\]But neither 216 nor -216 is a root. Could there be something wrong with the question?
UsukiDoll
  • UsukiDoll
well plugging in x = 1 I do have the equation going to 0 .
UsukiDoll
  • UsukiDoll
maybe rational toot test might work?!
UsukiDoll
  • UsukiDoll
wow something is off with the question...
UsukiDoll
  • UsukiDoll
|dw:1439178737323:dw|
UsukiDoll
  • UsukiDoll
and then factoring that (x-8)(x+27) so (x-1)(x-8)(x+27) or x = 1,8,-27 where the heck does x = 216 or x = -216 come into play?
UsukiDoll
  • UsukiDoll
OMG I ANSWERED MY OWN QUESTION x = -216 x = (-27)(8)
UsukiDoll
  • UsukiDoll
those dummies combined the x = -216 -___________- the answer is actually x = 1, x = 8, x = -27 but they thought it was a great idea to combine x =8 and x -27 together to make x=(8)(-27) = -216 X_X!
anonymous
  • anonymous
So with my choices given would it be c?
UsukiDoll
  • UsukiDoll
yeah.. and if they knock points off, you can complain and use my work as evidence to show how wrong they are.
anonymous
  • anonymous
Ok will, thank you once again!

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