What is the answer to 2x^{3/4}-14=40 ?

The answer to 2x^{3/4}-14=40 is x=81

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2x^{3/4}-14=40

2 x^{\frac{3}{4}} - 14 = 40

x = 81

Solution steps

2 x^{\frac{3}{4}} - 14 = 40

Move

14

to the right side

2 x^{\frac{3}{4}} = 54

Divide both sides by

2

x^{\frac{3}{4}} = 27

Take both sides of the equation to the power of

4 : x^{3} = 531441

x^{3} = 531441

Solve

x^{3} = 531441 : x = 81

x = 81

Verify Solutions:

x = 81

True

The solution is

x = 81

x = - 2 x + 48

x - 1 + 5 = x - 2

2 x + 33 + 8 = 15

5 x + 1 + 2 = 27 + 3 x

3 x + 76 + 7 = 15