What is the answer to y-8=\sqrt[3]{y-2} ?

The answer to y-8=\sqrt[3]{y-2} is y=10

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y-8=\sqrt[3]{y-2}

y = 10

Solution steps

Take both sides of the equation to the power of

3 : y^{3} - 24 y^{2} + 192 y - 512 = y - 2

y^{3} - 24 y^{2} + 192 y - 512 = y - 2

Solve

y^{3} - 24 y^{2} + 192 y - 512 = y - 2 : y = 10

y = 10

Verify Solutions:

y = 10

True

The solution is

y = 10

x^{\frac{2}{5}} = 4

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

2 b + 1 + 1 = b

(4 x + 12)^{\frac{1}{3}} + 3 = 1

3 x + 1 = x - 1

What is the answer to y-8=\sqrt[3]{y-2} ?
The answer to y-8=\sqrt[3]{y-2} is y=10
Solve for y: y-8=\sqrt[3]{y-2}
The solution is y=10