What is the answer to y(sqrt(y-1))=y+10 ?

The answer to y(sqrt(y-1))=y+10 is y\approx 6.94899…

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y(sqrt(y-1))=y+10

y (y - 1) = y + 10

y \approx 6.94899 \dots

Solution steps

y (y - 1) = y + 10

Square both sides:

y^{3} - y^{2} = y^{2} + 20 y + 100

y^{3} - y^{2} = y^{2} + 20 y + 100

Solve

y^{3} - y^{2} = y^{2} + 20 y + 100 : y \approx 6.94899 \dots

y \approx 6.94899 \dots

Verify Solutions:

y \approx 6.94899 \dots

True

The solution is

y \approx 6.94899 \dots

x - 4 = x^{\frac{2}{3}}

x^{3} + 4 = x + 3

u + 9 = 8

2 x + 2 = - 1 + x + 2

3 x + 2 - 2 x + 5 = 0

What is the answer to y(sqrt(y-1))=y+10 ?
The answer to y(sqrt(y-1))=y+10 is y\approx 6.94899…
Solve for y: y(sqrt(y-1))=y+10
The solution is y\approx 6.94899…