What is the answer to solvefor y,x=y-1sqrt(y-1)3 ?

The answer to solvefor y,x=y-1sqrt(y-1)3 is y=(2x+9+3sqrt(4x+5))/2 ,y=(2x+9-3sqrt(4x+5))/2

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solvefor y,x=y-1sqrt(y-1)3

solve for

y, x = y - 1 y - 1 3

y = \frac{2 x + 9 + 3 4 x + 5}{2}, y = \frac{2 x + 9 - 3 4 x + 5}{2}

Solution steps

x = y - 1 \cdot y - 1 \cdot 3

Expand

y - 1 \cdot y - 1 \cdot 3 : y - 3 y - 1

x = y - 3 y - 1

Remove square roots

x^{2} - 2 y x + y^{2} = 9 y - 9

Solve

x^{2} - 2 y x + y^{2} = 9 y - 9 : y = \frac{2 x + 9 + 3 4 x + 5}{2}, y = \frac{2 x + 9 - 3 4 x + 5}{2}

y = \frac{2 x + 9 + 3 4 x + 5}{2}, y = \frac{2 x + 9 - 3 4 x + 5}{2}

Verify Solutions:

y = \frac{2 x + 9 + 3 4 x + 5}{2}

True

, y = \frac{2 x + 9 - 3 4 x + 5}{2}

True

The solutions are

y = \frac{2 x + 9 + 3 4 x + 5}{2}, y = \frac{2 x + 9 - 3 4 x + 5}{2}

x^{2.5} x^{2} - 2.5 x + 0.00025 = 0

729 x = 27 x^{2}

t, t - m = t + 1

What is the answer to solvefor y,x=y-1sqrt(y-1)3 ?
The answer to solvefor y,x=y-1sqrt(y-1)3 is y=(2x+9+3sqrt(4x+5))/2 ,y=(2x+9-3sqrt(4x+5))/2