What is the answer to y=sqrt((y+2)/(5-y)) ?

The answer to y=sqrt((y+2)/(5-y)) is y\approx 0.82180…,y\approx 4.69639…

Solve for y: y=sqrt((y+2)/(5-y))

The solution is y\approx 0.82180…,y\approx 4.69639…

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y = \frac{y + 2}{5 - y}

y \approx 0.82180 \dots, y \approx 4.69639 \dots

Solution steps

y = \frac{y + 2}{5 - y}

Square both sides:

y^{2} = \frac{y + 2}{5 - y}

y^{2} = \frac{y + 2}{5 - y}

Solve

y^{2} = \frac{y + 2}{5 - y} : y \approx - 0.51819 \dots, y \approx 0.82180 \dots, y \approx 4.69639 \dots

y \approx - 0.51819 \dots, y \approx 0.82180 \dots, y \approx 4.69639 \dots

Verify Solutions:

y \approx - 0.51819 \dots

False

, y \approx 0.82180 \dots

True

, y \approx 4.69639 \dots

True

The solutions are

y \approx 0.82180 \dots, y \approx 4.69639 \dots

5 x + 14 - x = 8

40 x = 5 x + 3

2 h - 5 = 1 - h - 3

8 x^{2} + 144 - 3 x = 0

6 - x = 1 + x - 1

What is the answer to y=sqrt((y+2)/(5-y)) ?
The answer to y=sqrt((y+2)/(5-y)) is y\approx 0.82180…,y\approx 4.69639…
Solve for y: y=sqrt((y+2)/(5-y))
The solution is y\approx 0.82180…,y\approx 4.69639…