SOLUTION: Find the real solutions of the given equation. Use a calculator to express solutions rounded to two decimal places.
x^(2/3) + 4x^(1/3) + 2 = 0
Algebra.Com
Question 1208848: Find the real solutions of the given equation. Use a calculator to express solutions rounded to two decimal places.
x^(2/3) + 4x^(1/3) + 2 = 0
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
try something like and then you have (t equals x to the one-third power)
Two things to do now.
The other possible x
Cube both sides for each, to find x.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
There are two solutions, using the path shown by tutor @josgarithmetic.
and
Cubing each of those values gives the two (approximate) solutions x = -0.20101 and x - -39.79899.
The graphing feature of this web site can't handle an equation like that. Verify the solutions by making a graph using a calculator like the TI-84, or using the graphing utility at geogebra.org.
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