What is the answer to solvefor x,(Y(x)^2)/(4-x^2)=1 ?

The answer to solvefor x,(Y(x)^2)/(4-x^2)=1 is x= 2/(sqrt(Y+1)),x=-2/(sqrt(Y+1));\quad Y\ne-1

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solvefor x,(Y(x)^2)/(4-x^2)=1

solve for

x, \frac{Y ( x ) ^{2}}{4 - x ^{2}} = 1

x = \frac{2}{Y + 1}, x = - \frac{2}{Y + 1}; Y \neq = - 1

Solution steps

\frac{Y x ^{2}}{4 - x ^{2}} = 1

Multiply both sides by

4 - x^{2}

x^{2} Y = 4 - x^{2}

Solve

x^{2} Y = 4 - x^{2} : x = \frac{2}{Y + 1}, x = - \frac{2}{Y + 1}; Y \neq = - 1

x = \frac{2}{Y + 1}, x = - \frac{2}{Y + 1}; Y \neq = - 1

2 x^{2} + 10 y^{2} - 10 x - 6 y - 10 = 0

\frac{y ^{2}}{16} = 1 - \frac{x ^{2}}{9}

4 x^{2} + 9 y^{2} + 16 x - 36 y + 16 = 0

- 16 - x^{2} - y^{2} \geq 0

9 = 4 x^{2} + y^{2}

What is the answer to solvefor x,(Y(x)^2)/(4-x^2)=1 ?
The answer to solvefor x,(Y(x)^2)/(4-x^2)=1 is x= 2/(sqrt(Y+1)),x=-2/(sqrt(Y+1));\quad Y\ne-1