What is the answer to solvefor y,x=(1+4t)sqrt(y) ?

The answer to solvefor y,x=(1+4t)sqrt(y) is y=(x^2)/(16t^2+8t+1)

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solvefor y,x=(1+4t)sqrt(y)

solve for

y, x = (1 + 4 t) y

y = \frac{x ^{2}}{16 t ^{2} + 8 t + 1}

Solution steps

x = (1 + 4 t) y

Expand

(1 + 4 t) y : y + 4 y t

x = y + 4 y t

Factor

y + 4 y t : y (4 t + 1)

x = y (4 t + 1)

Switch sides

y (4 t + 1) = x

Divide both sides by

4 t + 1

y = \frac{x}{4 t + 1}

Square both sides:

y = \frac{x ^{2}}{16 t ^{2} + 8 t + 1}

y = \frac{x ^{2}}{16 t ^{2} + 8 t + 1}

3 x - 6 = 0

\frac{12}{x} = 3

0 = 11 x^{2}

8 - p - p + 5 = 1

4 + x = 2 - x

What is the answer to solvefor y,x=(1+4t)sqrt(y) ?
The answer to solvefor y,x=(1+4t)sqrt(y) is y=(x^2)/(16t^2+8t+1)