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受欢迎的代数 >

solvefor x,x^2y^2+4x^2-4y^2=0

解答

求解

x, x^{2} y^{2} + 4 x^{2} - 4 y^{2} = 0

解答

x = \frac{2 y}{y ^{2} + 4}, x = - \frac{2 y}{y ^{2} + 4}; y \neq = 2 i, y \neq = - 2 i

求解步骤

x^{2} y^{2} + 4 x^{2} - 4 y^{2} = 0

将

4 y^{2}

到右边

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

分解

x^{2} y^{2} + 4 x^{2} : x^{2} (y^{2} + 4)

x^{2} (y^{2} + 4) = 4 y^{2}

两边除以

y^{2} + 4; y \neq = 2 i, y \neq = - 2 i

x^{2} = \frac{4 y ^{2}}{y ^{2} + 4}; y \neq = 2 i, y \neq = - 2 i

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

x = \frac{4 y ^{2}}{y ^{2} + 4}, x = - \frac{4 y ^{2}}{y ^{2} + 4}; y \neq = 2 i, y \neq = - 2 i

化简

\frac{4 y ^{2}}{y ^{2} + 4} : \frac{2 y}{y ^{2} + 4}

化简

- \frac{4 y ^{2}}{y ^{2} + 4} : - \frac{2 y}{y ^{2} + 4}

x = \frac{2 y}{y ^{2} + 4}, x = - \frac{2 y}{y ^{2} + 4}; y \neq = 2 i, y \neq = - 2 i

作图

流行的例子

7 r^{2} = 5 r + 2

- 4 x^{2} + 16 x - 7 = 0

3 m^{2} + 12 m + 7 = 0

- 12 x^{2} - 2 = 0

t^{2} - 8 t - 9 = 0