What is the answer to y^{(1/3)}=y-10 ?

The answer to y^{(1/3)}=y-10 is y\approx 12.30890…

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y^{(1/3)}=y-10

y^{(\frac{1}{3})} = y - 10

y \approx 12.30890 \dots

Solution steps

y^{(\frac{1}{3})} = y - 10

Take both sides of the equation to the power of

3 : y = y^{3} - 30 y^{2} + 300 y - 1000

y = y^{3} - 30 y^{2} + 300 y - 1000

Solve

y = y^{3} - 30 y^{2} + 300 y - 1000 : y \approx 12.30890 \dots

y \approx 12.30890 \dots

Verify Solutions:

y \approx 12.30890 \dots

True

The solution is

y \approx 12.30890 \dots

u + 2 = 9

\frac{3 x - 2}{2 x - 1} = 1

x + 2 + 2 = 2 x + 3

x^{2} + 9 = 3 - 2 x

What is the answer to y^{(1/3)}=y-10 ?
The answer to y^{(1/3)}=y-10 is y\approx 12.30890…
Solve for y: y^{(1/3)}=y-10
The solution is y\approx 12.30890…