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受欢迎的代数 >

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

解答

求解

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

解答

x = y - y^{2} + 1, x = - y - y^{2} + 1

求解步骤

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

交换两边

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

将

y^{2}

到右边

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

两边除以

- 1

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

对于

x^{2} = f (a)

解为

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

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

化简

- y^{4} + y^{2} : y - y^{2} + 1

化简

- - y^{4} + y^{2} : - y - y^{2} + 1

x = y - y^{2} + 1, x = - y - y^{2} + 1

作图

流行的例子

(x + 5) (x + 7) = 0

x^{2} = 1 6^{2} + 1 2^{2}

(x - 2)^{2} = 121

- 5 x^{2} + 12 x = 0

4 (5 x + 9)^{2} - 17 = 7