What is the answer to y^{0.25}=y-11 ?

The answer to y^{0.25}=y-11 is y\approx 12.89498…

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y^{0.25}=y-11

y^{0.25} = y - 11

y \approx 12.89498 \dots

Solution steps

y^{0.25} = y - 11

Take both sides of the equation to the power of

4 : y = y^{4} - 44 y^{3} + 726 y^{2} - 5324 y + 14641

y = y^{4} - 44 y^{3} + 726 y^{2} - 5324 y + 14641

Solve

y = y^{4} - 44 y^{3} + 726 y^{2} - 5324 y + 14641 : y \approx 9.25577 \dots, y \approx 12.89498 \dots

y \approx 9.25577 \dots, y \approx 12.89498 \dots

Verify Solutions:

y \approx 9.25577 \dots

False

, y \approx 12.89498 \dots

True

The solution is

y \approx 12.89498 \dots

- 8 x - 6 = - 2

50000 = 20000 \cdot (1 + x)^{0.75}

21 - 5 x = x + 9

4 x = \frac{x ^{2}}{8}

m + 3 = m + 9

What is the answer to y^{0.25}=y-11 ?
The answer to y^{0.25}=y-11 is y\approx 12.89498…
Solve for y: y^{0.25}=y-11
The solution is y\approx 12.89498…