What is the answer to 2x^{5/3}-6=0 ?

The answer to 2x^{5/3}-6=0 is x=3^{3/5}

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2x^{5/3}-6=0

2 x^{\frac{5}{3}} - 6 = 0

x = 3^{\frac{3}{5}}

Decimal Notation

x = 1.93318 \dots

Solution steps

2 x^{\frac{5}{3}} - 6 = 0

Move

6

to the right side

2 x^{\frac{5}{3}} = 6

Divide both sides by

2

x^{\frac{5}{3}} = 3

Take both sides of the equation to the power of

\frac{3}{5} : x = 3^{\frac{3}{5}}

x = 3^{\frac{3}{5}}

Verify Solutions:

x = 3^{\frac{3}{5}}

True

The solution is

x = 3^{\frac{3}{5}}

x - 2 x + 1 = 2

x + 4 - x - 2 = 2

2 x - 7 x^{\frac{1}{2}} - 30 = 0

1 = 4 - (x - 3)^{2}

x + 6 = - 9