What is the answer to (6x-3)^{2/3}+6=15 ?

The answer to (6x-3)^{2/3}+6=15 is x=5,x=-4

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(6x-3)^{2/3}+6=15

(6 x - 3)^{\frac{2}{3}} + 6 = 15

x = 5, x = - 4

Solution steps

(6 x - 3)^{\frac{2}{3}} + 6 = 15

Move

6

to the right side

(6 x - 3)^{\frac{2}{3}} = 9

Take both sides of the equation to the power of

3 : (6 x - 3)^{2} = 729

(6 x - 3)^{2} = 729

Solve

(6 x - 3)^{2} = 729 : x = 5, x = - 4

x = 5, x = - 4

Verify Solutions:

x = 5

True

, x = - 4

True

The solutions are

x = 5, x = - 4

x^{\frac{4}{3}} = 81

x^{2} - 6 x = 13 x^{2} - 6 x - 36

y = 3 + y^{2} - 5

x^{2} = 4

x + 5 + x = 5

What is the answer to (6x-3)^{2/3}+6=15 ?
The answer to (6x-3)^{2/3}+6=15 is x=5,x=-4
Solve for x: (6x-3)^{2/3}+6=15
The solution is x=5,x=-4