What is the answer to (y-2)^2=(25)/(81y) ?

The answer to (y-2)^2=(25)/(81y) is y\approx 0.08408…,y\approx 1.55439…,y\approx 2.36151…

Solve for y: (y-2)^2=(25)/(81y)

The solution is y\approx 0.08408…,y\approx 1.55439…,y\approx 2.36151…

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(y - 2)^{2} = \frac{25}{81 y}

y \approx 0.08408 \dots, y \approx 1.55439 \dots, y \approx 2.36151 \dots

Solution steps

(y - 2)^{2} = \frac{25}{81 y}

Multiply both sides by

y

(y - 2)^{2} y = \frac{25}{81}

Solve

(y - 2)^{2} y = \frac{25}{81} : y \approx 0.08408 \dots, y \approx 1.55439 \dots, y \approx 2.36151 \dots

y \approx 0.08408 \dots, y \approx 1.55439 \dots, y \approx 2.36151 \dots

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y \approx 0.08408 \dots, y \approx 1.55439 \dots, y \approx 2.36151 \dots

\frac{- 2}{x - 1} = \frac{x - 8}{x + 1}

\frac{1}{y - 1} + 1 = \frac{2}{y - 1}

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

y, - \frac{1}{y} = x

\frac{8 x + 1}{x} = 0

What is the answer to (y-2)^2=(25)/(81y) ?
The answer to (y-2)^2=(25)/(81y) is y\approx 0.08408…,y\approx 1.55439…,y\approx 2.36151…
Solve for y: (y-2)^2=(25)/(81y)
The solution is y\approx 0.08408…,y\approx 1.55439…,y\approx 2.36151…