Quadratic Equation but with Fractional PowersI've got the equation I'm trying to solve: x 2 / 3 + 3 x 1 / 3 − 10 = 0But don't really know where to go. I've been kind of trying something like: 3 x 2 + 3 x − 10 = 3 0

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Quadratic Equation but with Fractional PowersI&#039;ve got the equation I&#039;m trying to solve:      x          2              /            3        +  3      x          1              /            3        −  10  =  0But don&#039;t really know where to go. I&#039;ve been kind of trying something like:      3                  x            2        +      3          x        −  10  =      3          0

hodowlanyb1rq2 · Accepted Answer

If you make the substitution   u  =      x          1              /            3       then you have       u    2    =  (      x          1              /            3            )    2    =      x          2              /            3      Your equation       x          2              /            3        +  3      x          1              /            3        −  10  =  0 becomes       u    2    +  3  u  −  10  =  0Solve this equation to give   u  =  … , then reverse the substitution to give       x          1              /            3        =  …Finally, cube both sides to give   x  =  …(There will be two solutions.)

Quadratic Equation but with Fractional Powers I've got the equation I'm trying to solve:

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