What is the answer to 2sqrt(y)=(y-1)^2 ?

The answer to 2sqrt(y)=(y-1)^2 is y\approx 0.13801…,y\approx 2.83508…

Solve for y: 2sqrt(y)=(y-1)^2

The solution is y\approx 0.13801…,y\approx 2.83508…

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2 y = (y - 1)^{2}

y \approx 0.13801 \dots, y \approx 2.83508 \dots

Solution steps

2 y = (y - 1)^{2}

Square both sides:

4 y = y^{4} - 4 y^{3} + 6 y^{2} - 4 y + 1

4 y = y^{4} - 4 y^{3} + 6 y^{2} - 4 y + 1

Solve

4 y = y^{4} - 4 y^{3} + 6 y^{2} - 4 y + 1 : y \approx 0.13801 \dots, y \approx 2.83508 \dots

y \approx 0.13801 \dots, y \approx 2.83508 \dots

Verify Solutions:

y \approx 0.13801 \dots

True

, y \approx 2.83508 \dots

True

The solutions are

y \approx 0.13801 \dots, y \approx 2.83508 \dots

3 x^{\frac{3}{2}} = 375

x - 4 = 5 - x + 1

x^{2} + 16 x + 89 = 0

x^{2} = 16

What is the answer to 2sqrt(y)=(y-1)^2 ?
The answer to 2sqrt(y)=(y-1)^2 is y\approx 0.13801…,y\approx 2.83508…
Solve for y: 2sqrt(y)=(y-1)^2
The solution is y\approx 0.13801…,y\approx 2.83508…